Theorem: LO.FirstOrder.Derivation.CutRestricted.or' (Logic/FirstOrder/Basic/Calculus.lean)

State before:
L : Language
Δ✝ Δ₁ Δ₂ Γ✝ : Sequent L
p✝ q✝ r : SyntacticFormula L
C C' : Set (SyntacticFormula L)
Δ Γ : Sequent L
p q : SyntacticFormula L
d :  ⊢¹ p :: q :: Δ
⊢ CutRestricted C (Derivation.or d) → CutRestricted C d
Tactic:
rintro ⟨⟩
State after:
case or
L : Language
Δ✝¹ Δ₁ Δ₂ Γ✝ : Sequent L
p✝ q✝ r : SyntacticFormula L
C C' : Set (SyntacticFormula L)
Δ✝ Γ : Sequent L
p q : SyntacticFormula L
d :  ⊢¹ p :: q :: Δ✝
Δ : Sequent L
a✝ : CutRestricted C d
⊢ CutRestricted C d

State before:
case or
L : Language
Δ✝¹ Δ₁ Δ₂ Γ✝ : Sequent L
p✝ q✝ r : SyntacticFormula L
C C' : Set (SyntacticFormula L)
Δ✝ Γ : Sequent L
p q : SyntacticFormula L
d :  ⊢¹ p :: q :: Δ✝
Δ : Sequent L
a✝ : CutRestricted C d
⊢ CutRestricted C d
Tactic:
assumption
State after:
no goals