aesop
L R : Finset Formula
c : TNode
ress : List SubPair
Lcond Rcond : Finset Formula
rule : LocalRule (Lcond, Rcond) ress
precondProofL : Lcond ⊆ L
precondProofR : Rcond ⊆ R
lrApp : LocalRuleApp (L, R) (applyLocalRule rule (L, R))
res : SubPair
res_in_ress : res ∈ ress
def_c : (L \ Lcond ∪ res.1, R \ Rcond ∪ res.2) = c
this✝ : Lcond ∩ res.1 = ∅ ∧ Rcond ∩ res.2 = ∅
hyp : lengthOf res.1 < lengthOf Lcond ∧ res.2 = ∅
this : lengthOf (L \ Lcond ∪ res.1) < lengthOf L
⊢ lengthOfSet (L \ Lcond ∪ res.1) + lengthOfSet R < lengthOfSet L + lengthOfSet R
no goals