-- Maclain Hunter: All, Contextual Identity, and Cooperative Coherence
-- Exact authored source SHA-256: 774b8ec047741ec3f9b88b671e87f83bc6d6e0e8653932782db9e1594e9290f8
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.
import Lean
namespace HunterAuthored

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

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

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

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

end HunterAuthored