simp[imp_eq]
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
ω : Rew L ξ₁ n₁ ξ₂ n₂
p : Semiformula L ξ₁ n₁
q₁ q₂ : Semiformula L ξ₂ n₂
⊢ ω.hom p = q₁ ⟶ q₂ ↔ ∃ p₁ p₂, ω.hom p₁ = q₁ ∧ ω.hom p₂ = q₂ ∧ p = p₁ ⟶ p₂
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
ω : Rew L ξ₁ n₁ ξ₂ n₂
p : Semiformula L ξ₁ n₁
q₁ q₂ : Semiformula L ξ₂ n₂
⊢ (∃ p₁, ω.hom p₁ = ~q₁ ∧ ∃ x, ω.hom x = q₂ ∧ p = p₁ ⋎ x) ↔ ∃ p₁, ω.hom p₁ = q₁ ∧ ∃ x, ω.hom x = q₂ ∧ p = ~p₁ ⋎ x