The Coq Proof Assistant, version 8.19.1 compiled with OCaml 4.14.2 exitCode=0 node0 : statement_node0 Closed under the global context node1 : statement_node1 Closed under the global context node2 : statement_node2 Closed under the global context node3 : statement_node3 Closed under the global context node4 : statement_node4 Closed under the global context node5 : statement_node5 Closed under the global context node6 : statement_node6 Closed under the global context node7 : statement_node7 Closed under the global context node8 : statement_node8 Closed under the global context node9 : statement_node9 Closed under the global context node10 : statement_node10 Closed under the global context node11 : statement_node11 Closed under the global context node12 : statement_node12 Closed under the global context node13 : statement_node13 Closed under the global context node14 : statement_node14 Closed under the global context node15 : statement_node15 Closed under the global context node16 : statement_node16 Closed under the global context node17 : statement_node17 Closed under the global context node18 : statement_node18 Closed under the global context node19 : statement_node19 Closed under the global context node20 : statement_node20 Closed under the global context node21 : statement_node21 Closed under the global context node22 : statement_node22 Closed under the global context node23 : statement_node23 Closed under the global context node24 : statement_node24 Closed under the global context node25 : statement_node25 Closed under the global context node26 : statement_node26 Closed under the global context node27 : statement_node27 Closed under the global context node28 : statement_node28 Closed under the global context node29 : statement_node29 Closed under the global context node30 : statement_node30 Closed under the global context node31 : statement_node31 Closed under the global context node32 : statement_node32 Closed under the global context node33 : statement_node33 Closed under the global context node34 : statement_node34 Closed under the global context node35 : statement_node35 Closed under the global context node36 : statement_node36 Closed under the global context node37 : statement_node37 Closed under the global context node38 : statement_node38 Closed under the global context node39 : statement_node39 Closed under the global context node40 : statement_node40 Closed under the global context node41 : statement_node41 Closed under the global context node42 : statement_node42 Closed under the global context node43 : statement_node43 Closed under the global context node44 : statement_node44 Closed under the global context node45 : statement_node45 Closed under the global context node46 : statement_node46 Closed under the global context node47 : statement_node47 Closed under the global context node48 : statement_node48 Closed under the global context node49 : statement_node49 Closed under the global context node50 : statement_node50 Closed under the global context node51 : statement_node51 Closed under the global context node52 : statement_node52 Closed under the global context node53 : statement_node53 Closed under the global context node54 : statement_node54 Closed under the global context node55 : statement_node55 Closed under the global context node56 : statement_node56 Closed under the global context node57 : statement_node57 Closed under the global context node58 : statement_node58 Closed under the global context node59 : statement_node59 Closed under the global context node60 : statement_node60 Closed under the global context node61 : statement_node61 Closed under the global context node62 : statement_node62 Closed under the global context node63 : statement_node63 Closed under the global context node64 : statement_node64 Closed under the global context node65 : statement_node65 Closed under the global context node66 : statement_node66 Closed under the global context node67 : statement_node67 Closed under the global context node68 : statement_node68 Closed under the global context node69 : statement_node69 Closed under the global context node70 : statement_node70 Closed under the global context node71 : statement_node71 Closed under the global context node72 : statement_node72 Closed under the global context node73 : statement_node73 Closed under the global context node74 : statement_node74 Closed under the global context node75 : statement_node75 Closed under the global context node76 : statement_node76 Closed under the global context node77 : statement_node77 Closed under the global context node78 : statement_node78 Closed under the global context node79 : statement_node79 Closed under the global context node80 : statement_node80 Closed under the global context node81 : statement_node81 Closed under the global context node82 : statement_node82 Closed under the global context node83 : statement_node83 Closed under the global context node84 : statement_node84 Closed under the global context node85 : statement_node85 Closed under the global context node86 : statement_node86 Closed under the global context node87 : statement_node87 Closed under the global context node88 : statement_node88 Closed under the global context node89 : statement_node89 Closed under the global context node90 : statement_node90 Closed under the global context node91 : statement_node91 Closed under the global context node92 : statement_node92 Closed under the global context node93 : statement_node93 Closed under the global context node94 : statement_node94 Closed under the global context node95 : statement_node95 Closed under the global context node96 : statement_node96 Closed under the global context node97 : statement_node97 Closed under the global context node98 : statement_node98 Closed under the global context node99 : statement_node99 Closed under the global context node100 : statement_node100 Closed under the global context node101 : statement_node101 Closed under the global context node102 : statement_node102 Closed under the global context node103 : statement_node103 Closed under the global context node104 : statement_node104 Closed under the global context node105 : statement_node105 Closed under the global context node106 : statement_node106 Closed under the global context node107 : statement_node107 Closed under the global context node108 : statement_node108 Closed under the global context node109 : statement_node109 Closed under the global context node110 : statement_node110 Closed under the global context node111 : statement_node111 Closed under the global context node112 : statement_node112 Closed under the global context node113 : statement_node113 Closed under the global context node114 : statement_node114 Closed under the global context node115 : statement_node115 Closed under the global context node116 : statement_node116 Closed under the global context node117 : statement_node117 Closed under the global context node118 : statement_node118 Closed under the global context node119 : statement_node119 Closed under the global context node120 : statement_node120 Closed under the global context node121 : statement_node121 Closed under the global context node122 : statement_node122 Closed under the global context node123 : statement_node123 Closed under the global context node124 : statement_node124 Closed under the global context node125 : statement_node125 Closed under the global context node126 : statement_node126 Closed under the global context node127 : statement_node127 Closed under the global context node128 : statement_node128 Closed under the global context node129 : statement_node129 Closed under the global context node130 : statement_node130 Closed under the global context node131 : statement_node131 Closed under the global context node132 : statement_node132 Closed under the global context node133 : statement_node133 Closed under the global context node134 : statement_node134 Closed under the global context node135 : statement_node135 Closed under the global context node136 : statement_node136 Closed under the global context node137 : statement_node137 Closed under the global context node138 : statement_node138 Closed under the global context node139 : statement_node139 Closed under the global context node140 : statement_node140 Closed under the global context node141 : statement_node141 Closed under the global context node142 : statement_node142 Closed under the global context node143 : statement_node143 Closed under the global context node144 : statement_node144 Closed under the global context node145 : statement_node145 Closed under the global context node146 : statement_node146 Closed under the global context node147 : statement_node147 Closed under the global context node148 : statement_node148 Closed under the global context node149 : statement_node149 Closed under the global context node150 : statement_node150 Closed under the global context node151 : statement_node151 Closed under the global context node152 : statement_node152 Closed under the global context node153 : statement_node153 Closed under the global context node154 : statement_node154 Closed under the global context node155 : statement_node155 Closed under the global context node156 : statement_node156 Closed under the global context node157 : statement_node157 Closed under the global context node158 : statement_node158 Closed under the global context node159 : statement_node159 Closed under the global context node160 : statement_node160 Closed under the global context node161 : statement_node161 Closed under the global context node162 : statement_node162 Closed under the global context node163 : statement_node163 Closed under the global context node164 : statement_node164 Closed under the global context node165 : statement_node165 Closed under the global context node166 : statement_node166 Closed under the global context node167 : statement_node167 Closed under the global context node168 : statement_node168 Closed under the global context node169 : statement_node169 Closed under the global context node170 : statement_node170 Closed under the global context node171 : statement_node171 Closed under the global context node172 : statement_node172 Closed under the global context node173 : statement_node173 Closed under the global context node174 : statement_node174 Closed under the global context node175 : statement_node175 Closed under the global context node176 : statement_node176 Closed under the global context node177 : statement_node177 Closed under the global context node178 : statement_node178 Closed under the global context node179 : statement_node179 Closed under the global context node180 : statement_node180 Closed under the global context node181 : statement_node181 Closed under the global context node182 : statement_node182 Closed under the global context node183 : statement_node183 Closed under the global context node184 : statement_node184 Closed under the global context node185 : statement_node185 Closed under the global context node186 : statement_node186 Closed under the global context node187 : statement_node187 Closed under the global context node188 : statement_node188 Closed under the global context node189 : statement_node189 Closed under the global context node190 : statement_node190 Closed under the global context node191 : statement_node191 Closed under the global context node192 : statement_node192 Closed under the global context node193 : statement_node193 Closed under the global context node194 : statement_node194 Closed under the global context node195 : statement_node195 Closed under the global context node196 : statement_node196 Closed under the global context node197 : statement_node197 Closed under the global context node198 : statement_node198 Closed under the global context node199 : statement_node199 Closed under the global context node200 : statement_node200 Closed under the global context node201 : statement_node201 Closed under the global context node202 : statement_node202 Closed under the global context node203 : statement_node203 Closed under the global context node204 : statement_node204 Closed under the global context node205 : statement_node205 Closed under the global context node206 : statement_node206 Closed under the global context node207 : statement_node207 Closed under the global context node208 : statement_node208 Closed under the global context node209 : statement_node209 Closed under the global context node210 : statement_node210 Closed under the global context node211 : statement_node211 Closed under the global context node212 : statement_node212 Closed under the global context node213 : statement_node213 Closed under the global context node214 : statement_node214 Closed under the global context node215 : statement_node215 Closed under the global context node216 : statement_node216 Closed under the global context node217 : statement_node217 Closed under the global context node218 : statement_node218 Closed under the global context node219 : statement_node219 Closed under the global context node220 : statement_node220 Closed under the global context node221 : statement_node221 Closed under the global context node222 : statement_node222 Closed under the global context node223 : statement_node223 Closed under the global context node224 : statement_node224 Closed under the global context node225 : statement_node225 Closed under the global context node226 : statement_node226 Closed under the global context node227 : statement_node227 Closed under the global context node228 : statement_node228 Closed under the global context node229 : statement_node229 Closed under the global context node230 : statement_node230 Closed under the global context node231 : statement_node231 Closed under the global context node232 : statement_node232 Closed under the global context node233 : statement_node233 Closed under the global context node234 : statement_node234 Closed under the global context node235 : statement_node235 Closed under the global context node236 : statement_node236 Closed under the global context node237 : statement_node237 Closed under the global context node238 : statement_node238 Closed under the global context node239 : statement_node239 Closed under the global context node240 : statement_node240 Closed under the global context node241 : statement_node241 Closed under the global context node242 : statement_node242 Closed under the global context node243 : statement_node243 Closed under the global context node244 : statement_node244 Closed under the global context node245 : statement_node245 Closed under the global context node246 : statement_node246 Closed under the global context node247 : statement_node247 Closed under the global context node248 : statement_node248 Closed under the global context node249 : statement_node249 Closed under the global context node250 : statement_node250 Closed under the global context node251 : statement_node251 Closed under the global context node252 : statement_node252 Closed under the global context node253 : statement_node253 Closed under the global context node254 : statement_node254 Closed under the global context node255 : statement_node255 Closed under the global context node256 : statement_node256 Closed under the global context node257 : statement_node257 Closed under the global context node258 : statement_node258 Closed under the global context node259 : statement_node259 Closed under the global context node260 : statement_node260 Closed under the global context node261 : statement_node261 Closed under the global context node262 : statement_node262 Closed under the global context node263 : statement_node263 Closed under the global context node264 : statement_node264 Closed under the global context node265 : statement_node265 Closed under the global context node266 : statement_node266 Closed under the global context node267 : statement_node267 Closed under the global context node268 : statement_node268 Closed under the global context node269 : statement_node269 Closed under the global context node270 : statement_node270 Closed under the global context node271 : statement_node271 Closed under the global context node272 : statement_node272 Closed under the global context node273 : statement_node273 Closed under the global context node274 : statement_node274 Closed under the global context node275 : statement_node275 Closed under the global context node276 : statement_node276 Closed under the global context node277 : statement_node277 Closed under the global context node278 : statement_node278 Closed under the global context node279 : statement_node279 Closed under the global context node280 : statement_node280 Closed under the global context node281 : statement_node281 Closed under the global context node282 : statement_node282 Closed under the global context node283 : statement_node283 Closed under the global context node284 : statement_node284 Closed under the global context node285 : statement_node285 Closed under the global context node286 : statement_node286 Closed under the global context node287 : statement_node287 Closed under the global context node288 : statement_node288 Closed under the global context node289 : statement_node289 Closed under the global context node290 : statement_node290 Closed under the global context node291 : statement_node291 Closed under the global context node292 : statement_node292 Closed under the global context node293 : statement_node293 Closed under the global context node294 : statement_node294 Closed under the global context node295 : statement_node295 Closed under the global context node296 : statement_node296 Closed under the global context node297 : statement_node297 Closed under the global context node298 : statement_node298 Closed under the global context node299 : statement_node299 Closed under the global context node300 : statement_node300 Closed under the global context node301 : statement_node301 Closed under the global context node302 : statement_node302 Closed under the global context node303 : statement_node303 Closed under the global context node304 : statement_node304 Closed under the global context node305 : statement_node305 Closed under the global context node306 : statement_node306 Closed under the global context node307 : statement_node307 Closed under the global context node308 : statement_node308 Closed under the global context node309 : statement_node309 Closed under the global context node310 : statement_node310 Closed under the global context node311 : statement_node311 Closed under the global context node312 : statement_node312 Closed under the global context node313 : statement_node313 Closed under the global context node314 : statement_node314 Closed under the global context node315 : statement_node315 Closed under the global context node316 : statement_node316 Closed under the global context node317 : statement_node317 Closed under the global context node318 : statement_node318 Closed under the global context node319 : statement_node319 Closed under the global context node320 : statement_node320 Closed under the global context node321 : statement_node321 Closed under the global context node322 : statement_node322 Closed under the global context node323 : statement_node323 Closed under the global context node324 : statement_node324 Closed under the global context node325 : statement_node325 Closed under the global context node326 : statement_node326 Closed under the global context node327 : statement_node327 Closed under the global context node328 : statement_node328 Closed under the global context node329 : statement_node329 Closed under the global context node330 : statement_node330 Closed under the global context node331 : statement_node331 Closed under the global context node332 : statement_node332 Closed under the global context node333 : statement_node333 Closed under the global context node334 : statement_node334 Closed under the global context node335 : statement_node335 Closed under the global context node336 : statement_node336 Closed under the global context node337 : statement_node337 Closed under the global context node338 : statement_node338 Closed under the global context node339 : statement_node339 Closed under the global context node340 : statement_node340 Closed under the global context node341 : statement_node341 Closed under the global context node342 : statement_node342 Closed under the global context node343 : statement_node343 Closed under the global context node344 : statement_node344 Closed under the global context node345 : statement_node345 Closed under the global context node346 : statement_node346 Closed under the global context node347 : statement_node347 Closed under the global context node348 : statement_node348 Closed under the global context node349 : statement_node349 Closed under the global context node350 : statement_node350 Closed under the global context node351 : statement_node351 Closed under the global context node352 : statement_node352 Closed under the global context node353 : statement_node353 Closed under the global context node354 : statement_node354 Closed under the global context node355 : statement_node355 Closed under the global context node356 : statement_node356 Closed under the global context node357 : statement_node357 Closed under the global context node358 : statement_node358 Closed under the global context node359 : statement_node359 Closed under the global context node360 : statement_node360 Closed under the global context node361 : statement_node361 Closed under the global context node362 : statement_node362 Closed under the global context node363 : statement_node363 Closed under the global context node364 : statement_node364 Closed under the global context node365 : statement_node365 Closed under the global context node366 : statement_node366 Closed under the global context node367 : statement_node367 Closed under the global context node368 : statement_node368 Closed under the global context node369 : statement_node369 Closed under the global context node370 : statement_node370 Closed under the global context node371 : statement_node371 Closed under the global context node372 : statement_node372 Closed under the global context node373 : statement_node373 Closed under the global context node374 : statement_node374 Closed under the global context node375 : statement_node375 Closed under the global context node376 : statement_node376 Closed under the global context node377 : statement_node377 Closed under the global context node378 : statement_node378 Closed under the global context node379 : statement_node379 Closed under the global context node380 : statement_node380 Closed under the global context node381 : statement_node381 Closed under the global context node382 : statement_node382 Closed under the global context node383 : statement_node383 Closed under the global context node384 : statement_node384 Closed under the global context node385 : statement_node385 Closed under the global context node386 : statement_node386 Closed under the global context node387 : statement_node387 Closed under the global context node388 : statement_node388 Closed under the global context node389 : statement_node389 Closed under the global context node390 : statement_node390 Closed under the global context node391 : statement_node391 Closed under the global context node392 : statement_node392 Closed under the global context node393 : statement_node393 Closed under the global context node394 : statement_node394 Closed under the global context node395 : statement_node395 Closed under the global context node396 : statement_node396 Closed under the global context node397 : statement_node397 Closed under the global context node398 : statement_node398 Closed under the global context node399 : statement_node399 Closed under the global context node400 : statement_node400 Closed under the global context node401 : statement_node401 Closed under the global context node402 : statement_node402 Closed under the global context node403 : statement_node403 Closed under the global context node404 : statement_node404 Closed under the global context node405 : statement_node405 Closed under the global context node406 : statement_node406 Closed under the global context node407 : statement_node407 Closed under the global context node408 : statement_node408 Closed under the global context node409 : statement_node409 Closed under the global context node410 : statement_node410 Closed under the global context node411 : statement_node411 Closed under the global context node412 : statement_node412 Closed under the global context node413 : statement_node413 Closed under the global context node414 : statement_node414 Closed under the global context node415 : statement_node415 Closed under the global context node416 : statement_node416 Closed under the global context node417 : statement_node417 Closed under the global context node418 : statement_node418 Closed under the global context node419 : statement_node419 Closed under the global context node420 : statement_node420 Closed under the global context node421 : statement_node421 Closed under the global context node422 : statement_node422 Closed under the global context node423 : statement_node423 Closed under the global context node424 : statement_node424 Closed under the global context node425 : statement_node425 Closed under the global context node426 : statement_node426 Closed under the global context node427 : statement_node427 Closed under the global context node428 : statement_node428 Closed under the global context node429 : statement_node429 Closed under the global context node430 : statement_node430 Closed under the global context node431 : statement_node431 Closed under the global context node432 : statement_node432 Closed under the global context node433 : statement_node433 Closed under the global context node434 : statement_node434 Closed under the global context node435 : statement_node435 Closed under the global context node436 : statement_node436 Closed under the global context node437 : statement_node437 Closed under the global context node438 : statement_node438 Closed under the global context node439 : statement_node439 Closed under the global context node440 : statement_node440 Closed under the global context node441 : statement_node441 Closed under the global context node442 : statement_node442 Closed under the global context node443 : statement_node443 Closed under the global context node444 : statement_node444 Closed under the global context node445 : statement_node445 Closed under the global context node446 : statement_node446 Closed under the global context node447 : statement_node447 Closed under the global context node448 : statement_node448 Closed under the global context node449 : statement_node449 Closed under the global context node450 : statement_node450 Closed under the global context node451 : statement_node451 Closed under the global context node452 : statement_node452 Closed under the global context node453 : statement_node453 Closed under the global context node454 : statement_node454 Closed under the global context node455 : statement_node455 Closed under the global context node456 : statement_node456 Closed under the global context node457 : statement_node457 Closed under the global context node458 : statement_node458 Closed under the global context node459 : statement_node459 Closed under the global context node460 : statement_node460 Closed under the global context node461 : statement_node461 Closed under the global context node462 : statement_node462 Closed under the global context node463 : statement_node463 Closed under the global context node464 : statement_node464 Closed under the global context node465 : statement_node465 Closed under the global context node466 : statement_node466 Closed under the global context node467 : statement_node467 Closed under the global context node468 : statement_node468 Closed under the global context node469 : statement_node469 Closed under the global context node470 : statement_node470 Closed under the global context node471 : statement_node471 Closed under the global context node472 : statement_node472 Closed under the global context node473 : statement_node473 Closed under the global context node474 : statement_node474 Closed under the global context node475 : statement_node475 Closed under the global context node476 : statement_node476 Closed under the global context node477 : statement_node477 Closed under the global context node478 : statement_node478 Closed under the global context node479 : statement_node479 Closed under the global context node480 : statement_node480 Closed under the global context node481 : statement_node481 Closed under the global context node482 : statement_node482 Closed under the global context node483 : statement_node483 Closed under the global context node484 : statement_node484 Closed under the global context node485 : statement_node485 Closed under the global context node486 : statement_node486 Closed under the global context node487 : statement_node487 Closed under the global context node488 : statement_node488 Closed under the global context node489 : statement_node489 Closed under the global context node490 : statement_node490 Closed under the global context node491 : statement_node491 Closed under the global context node492 : statement_node492 Closed under the global context node493 : statement_node493 Closed under the global context node494 : statement_node494 Closed under the global context node495 : statement_node495 Closed under the global context node496 : statement_node496 Closed under the global context node497 : statement_node497 Closed under the global context node498 : statement_node498 Closed under the global context node499 : statement_node499 Closed under the global context node500 : statement_node500 Closed under the global context node501 : statement_node501 Closed under the global context node502 : statement_node502 Closed under the global context node503 : statement_node503 Closed under the global context node504 : statement_node504 Closed under the global context node505 : statement_node505 Closed under the global context node506 : statement_node506 Closed under the global context node507 : statement_node507 Closed under the global context node508 : statement_node508 Closed under the global context node509 : statement_node509 Closed under the global context node510 : statement_node510 Closed under the global context node511 : statement_node511 Closed under the global context node512 : statement_node512 Closed under the global context node513 : statement_node513 Closed under the global context node514 : statement_node514 Closed under the global context node515 : statement_node515 Closed under the global context node516 : statement_node516 Closed under the global context node517 : statement_node517 Closed under the global context node518 : statement_node518 Closed under the global context node519 : statement_node519 Closed under the global context node520 : statement_node520 Closed under the global context node521 : statement_node521 Closed under the global context node522 : statement_node522 Closed under the global context node523 : statement_node523 Closed under the global context certified_member : forall ps : list Prop, Certified ps -> forall p : Prop, In p ps -> p Closed under the global context whole_network_conjunction : networkConjunction Closed under the global context whole_network_certificate : Certified allStatements Closed under the global context every_network_node_is_proved : forall p : Prop, In p allStatements -> p Closed under the global context false_is_not_a_network_node : ~ In False allStatements Closed under the global context network_has_no_contradictory_member : forall p : Prop, In p allStatements -> ~ ~ p Closed under the global context complete_network_not_false : ~ (networkConjunction -> False) Closed under the global context scoped_implication_composition : forall P Q R : Prop, (P -> Q) -> (Q -> R) -> P -> R Closed under the global context scoped_many_conclusion_fork : forall P Q R : Prop, (P -> Q) -> (P -> R) -> P -> Q /\ R Closed under the global context independent_context_union : forall A B P Q : Prop, (A -> P) -> (B -> Q) -> A /\ B -> P /\ Q Closed under the global context equivalent_context_transport : forall A B P : Prop, A <-> B -> (A -> P) -> B -> P Closed under the global context higher_order_path_composition : forall A B C D : Prop, (A -> B) -> (B -> C) -> (C -> D) -> A -> D Closed under the global context