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Proof step 14 from proof unchanged-pathex-unchanged (previous step)

path∃(str, r0, r1, st), path∃(str, r, r0, st), unchanged(str, r, st, st1), ∀ r0. (path∃(str, r, r0, st) ↔ path∃(str, r, r0, st1)) ∧ (path∃(str, r, r0, st) → unchangedNorec(r0, st, st1)) ⊦ unchangedNorec(r1, st, st1), path∃(str, r, r1, st1), path∃(str, r, r1, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: cyclic instance-name: lemma-name: pathex-trans antecedent: succedent: path∃(str, r, r0, st) ∧ path∃(str, r0, r1, st) → path∃(str, r, r1, st) substlist: [str, r, r0, st, r1] → [str, r, r0, st, r1] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 2)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str, r, r0, st, r1)]]