Theorem: LO.FirstOrder.Semiformula.eval_substs (Logic/FirstOrder/Basic/Semantics/Semantics.lean)

State before:
n₂ : ℕ
L : Language
μ : Type v
μ₁ : Type v₁
μ₂ : Type v₂
M : Type w
s : Structure L M
n : ℕ
e : Fin n → M
e₂ : Fin n₂ → M
ε : μ → M
ε₂ : μ₂ → M
k : ℕ
w : Fin k → Semiterm L μ n
p : Semiformula L μ k
⊢ (Eval s e ε) ((Rew.substs w).hom p) ↔ (Eval s (fun i => Semiterm.val s e ε (w i)) ε) p
Tactic:
simp [eval_rew, Function.comp]
State after:
no goals