-- Maclain Hunter: Proof of Foundational Coherence by Maclain Hunter
-- Exact authored source SHA-256: 06170827c28cd5c5bb2b0127f7c1b85d28d4e67db66110df2fec1dccc62aae7e
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.
import Lean
namespace HunterAuthored

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

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

end HunterAuthored