Theorem: LO.FirstOrder.Rew.loMap_neg (Logic/FirstOrder/Basic/Syntax/Rew.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
ω : Rew L ξ₁ n₁ ξ₂ n₂
p : Semiformula L ξ₁ n₁
⊢ ω.loMap (~p) = ~ω.loMap p
Tactic:
induction p using Semiformula.rec' generalizing n₂ <;> simp[*, loMap, ←Semiformula.neg_eq]
State after:
no goals