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Proof step 14 from proof unchanged-put-nopathex (previous step)

⊦ sk = _type, junkref(str, r, st), path∃(str, r, r0, st), (path∃(str, r, r1, st) ↔ path∃(str, r, r1, st[r0 -- sk, val])) ∧ (path∃(str, r, r1, st) → unchangedNorec(r1, st, st[r0 -- sk, val]))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: cyclic instance-name: lemma-name: pathex-put-nopathex antecedent: succedent: ¬ path∃(str, r, r0, st) ∧ ¬ junkref(str, r, st) ∧ sk ≠ _type → ( path∃(str, r, r1, st[r0 -- sk, val]) ↔ path∃(str, r, r1, st)) substlist: [val, sk, r0, st, r1, r, str] → [val, sk, r0, st, r1, r, str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 3, 1, 0, 1, 1)) dummy: () ]

Additional information

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