-- Maclain Hunter: Pythagorean Proofs by Maclain Hunter
-- Exact authored source SHA-256: d6182166b343de6bd6f63d9927dc20d086c6c877b0337f9a90a9cea8e08a1bed
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.
import Lean
namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((v0 && (v0 == v1)) && (v1 == v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide
#print axioms inference_1

theorem inference_2 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3))) || ((!((!v3) || v2)) || ((!v1) || v0))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide
#print axioms inference_2

theorem inference_3 (v0 v1 v2 : Bool) :
    ((!((v0 && (v0 == v1)) && (v1 == v2))) || ((!((!v2) || v1)) || v0)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide
#print axioms inference_3

theorem inference_4 (v0 v1 v2 v3 : Bool) :
    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3))) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide
#print axioms inference_4

theorem inference_5 (v0 v1 v2 : Bool) :
    ((!((v0 && (v0 == v1)) && (v1 == v2))) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide
#print axioms inference_5

end HunterAuthored