split <;> split <;> (subst_vars; simp at *)
case h
ν : Type u_1
inst✝ : DecidableEq ν
τ : PropAssignment ν
x₁ : ν
b₁ : Bool
x₂ : ν
b₂ : Bool
h : x₁ ≠ x₂
v : ν
⊢ (if v = x₁ then b₁ else if v = x₂ then b₂ else τ v) = if v = x₂ then b₂ else if v = x₁ then b₁ else τ v
no goals