intro h₁ h₂ e
ν : Type u_1
inst✝ : DecidableEq ν
φ₁ φ₂ : PropFun ν
X : Set ν
this : ∀ {φ₁ φ₂ : PropFun ν} {τ : PropAssignment ν}, ↑(semVars φ₂) ⊆ X → equivalentOver X φ₁ φ₂ → τ ⊨ φ₁ → τ ⊨ φ₂
⊢ ↑(semVars φ₁) ⊆ X → ↑(semVars φ₂) ⊆ X → equivalentOver X φ₁ φ₂ → φ₁ = φ₂
ν : Type u_1
inst✝ : DecidableEq ν
φ₁ φ₂ : PropFun ν
X : Set ν
this : ∀ {φ₁ φ₂ : PropFun ν} {τ : PropAssignment ν}, ↑(semVars φ₂) ⊆ X → equivalentOver X φ₁ φ₂ → τ ⊨ φ₁ → τ ⊨ φ₂
h₁ : ↑(semVars φ₁) ⊆ X
h₂ : ↑(semVars φ₂) ⊆ X
e : equivalentOver X φ₁ φ₂
⊢ φ₁ = φ₂