-- Maclain Hunter: Self-Supporting Generation by Maclain Hunter
-- Exact authored source SHA-256: 6f9572f429bafbfe348e6578ea13c1c3928df4503d967fe9b71dd93ed7449e59
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.
import Lean
namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!((((((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3)) && (v3 == v4)) && (v4 == v5)) && (v5 == v0))) || (((((v0 && v1) && v2) && v3) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide
#print axioms inference_1

theorem inference_2 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!((((((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3)) && (v3 == v4)) && (v4 == v5)) && (v5 == v0))) || (((((v0 && v1) && v2) && v3) && v4) && v5)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide
#print axioms inference_2

theorem source_identity_rule (α : Type) (a : α) : a = a := rfl
#print axioms source_identity_rule

end HunterAuthored