-- Maclain Hunter: The Grounding of Logic by Maclain Hunter
-- Exact authored source SHA-256: e90490726127e3c6a1bac523aa85ebbb09829f06da7ea2064e3af39d0b8b882b
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.
import Lean
namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!(((!v0) || v1) && ((!v0) || 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))) || ((v0 == v1) == (v2 == v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide
#print axioms inference_2

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

end HunterAuthored