Theorem: LO.Propositional.Superintuitionistic.Kripke.validOnAxiomSetFrameClass_axiom (Logic/Propositional/Superintuitionistic/Kripke/Semantics.lean)

State before:
α : Type u_1
inst✝ : Inhabited α
Ax : AxiomSet α
p : Formula α
h : p ∈ Ax
⊢ 𝔽(Ax) ⊧ p
Tactic:
intro F hF
State after:
α : Type u_1
inst✝ : Inhabited α
Ax : AxiomSet α
p : Formula α
h : p ∈ Ax
F : Frame' α
hF : F ∈ 𝔽(Ax)
⊢ F ⊧ p

State before:
α : Type u_1
inst✝ : Inhabited α
Ax : AxiomSet α
p : Formula α
h : p ∈ Ax
F : Frame' α
hF : F ∈ 𝔽(Ax)
⊢ F ⊧ p
Tactic:
exact hF.realize h
State after:
no goals