simp_all
β : Program
σ0 σ1 ρ ψ : Formula
x : ℕ
x_notin_beta : x ∉ voc β
beta_equiv : (~⌈β⌉~·x)≡(~(~(·x)⋀σ0)⋀(~σ1))
repl_imp_rho : repl_in_F x ρ σ1⊨ρ
W : Type
M : KripkeModel W
claim : ∀ (u v : W), (M, v)⊨ρ → relate M β u v → (M, u)⊨ρ
w v : W
v_Psi : ¬evaluate M v ψ
notPsi_imp_rho : (∀ φ ∈ [~ψ], evaluate M v φ) → ∀ ψ ∈ [ρ], evaluate M v ψ
⊢ evaluate M v ρ
no goals