rcases lrA with ⟨Lcond,Rcond,Ocond,rule,preconP⟩
X : TNode
B : List TNode
lrA : LocalRuleApp X B
⊢ ∀ Y ∈ B, lt_TNode Y X
case mk
B : List TNode
L✝ R✝ : List Formula
ress✝ : List TNode
O✝ : Option (NegLoadFormula ⊕ NegLoadFormula)
Lcond Rcond : List Formula
Ocond : Option (NegLoadFormula ⊕ NegLoadFormula)
rule : LocalRule (Lcond, Rcond, Ocond) ress✝
preconP : Lcond.Sublist L✝ ∧ Rcond.Sublist R✝ ∧ Ocond ⊆ O✝
hC✝ : B = applyLocalRule rule (L✝, R✝, O✝)
⊢ ∀ Y ∈ B, lt_TNode Y (L✝, R✝, O✝)