Theorem: LO.FirstOrder.Semiterm.val_rew (Logic/FirstOrder/Basic/Semantics/Semantics.lean)

State before:
n n₁ n₂ : ℕ
L : Language
μ : Type v
μ₁ : Type v₁
μ₂ : Type v₂
M : Type w
s : Structure L M
e : Fin n → M
e₁ : Fin n₁ → M
e₂ : Fin n₂ → M
ε : μ → M
ε₁ : μ₁ → M
ε₂ : μ₂ → M
ω : Rew L μ₁ n₁ μ₂ n₂
t : Semiterm L μ₁ n₁
⊢ val s e₂ ε₂ (ω t) = val s (val s e₂ ε₂ ∘ ⇑ω ∘ bvar) (val s e₂ ε₂ ∘ ⇑ω ∘ fvar) t
Tactic:
induction t <;> simp [*, Rew.func, val_func]
State after:
no goals