simp [indScheme]
L : Language
inst✝ : L.ORing
C C' : Semiformula L ℕ 1 → Prop
h : ∀ {p : Semiformula L ℕ 1}, C p → C' p
a✝ : Sentence L
⊢ a✝ ∈ indScheme L C → a✝ ∈ indScheme L C'
L : Language
inst✝ : L.ORing
C C' : Semiformula L ℕ 1 → Prop
h : ∀ {p : Semiformula L ℕ 1}, C p → C' p
a✝ : Sentence L
⊢ ∀ (x : Semiformula L ℕ 1), C x → a✝ = ∀ᶠ* succInd x → ∃ p, C' p ∧ a✝ = ∀ᶠ* succInd p