Theorem: LO.FirstOrder.Semiformula.imp_inj (Logic/FirstOrder/Basic/Syntax/Formula.lean)

State before:
L : Language
L₁ : Language
L₂ : Language
L₃ : Language
ξ : Type u_1
ξ₁ : Type u_2
ξ₂ : Type u_3
ξ₃ : Type u_4
n n₁ n₂✝ n₂ m m₁ m₂ m₃ : ℕ
p₁ p₂ q₁ q₂ : Semiformula L ξ n
⊢ p₁ ⟶ p₂ = q₁ ⟶ q₂ ↔ p₁ = q₁ ∧ p₂ = q₂
Tactic:
simp [imp_eq]
State after:
no goals