exact ih _ h
L : Language
Δ✝¹ Δ₁ Δ₂ Γ : Sequent L
p q r : SyntacticFormula L
C : Set (SyntacticFormula L)
hC : ∀ (f : ℕ → SyntacticTerm L), ∀ p ∈ C, (Rew.rewrite f).hom p ∈ C
Δ Δ✝ Γ✝ : Sequent L
a✝¹ : Derivation Δ✝
a✝ : Δ✝ ⊆ Γ✝
ih : ∀ (f : ℕ → SyntacticTerm L), CutRestricted C a✝¹ → CutRestricted C (Derivation.rewrite a✝¹ f)
f : ℕ → SyntacticTerm L
h : CutRestricted C a✝¹
⊢ CutRestricted C (Derivation.rewrite a✝¹ f)
no goals