rename_i rule
case LRnegR
res : SubPair
ϕ✝ : Formula
in_ress : res ∈ ∅
⊢ {~ϕ✝} ∩ res.1 = ∅ ∧ {ϕ✝} ∩ res.2 = ∅
case LRnegR
res : SubPair
rule : Formula
in_ress : res ∈ ∅
⊢ {~rule} ∩ res.1 = ∅ ∧ {rule} ∩ res.2 = ∅