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Proof step 16 from proof unchanged-put-nopathex (previous step)

⊦ sk = _type, path∃(str, r, r0, st), junkref(str, r, st), unchanged(str, r, st, st[r0 -- sk, val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ unchanged(str, r, st, st0) ↔ (∀ r0. (path∃(str, r, r0, st) ↔ path∃(str, r, r0, st0)) ∧ (path∃(str, r, r0, st) → unchangedNorec(r0, st, st0)))
Proof step 15:
⊦ sk = _type, path∃(str, r, r0, st), junkref(str, r, st), ∀ r1. (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]))

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: unchanged-def antecedent: succedent: unchanged(str, r, st, st0) ↔ (∀ r0. (path∃(str, r, r0, st) ↔ path∃(str, r, r0, st0)) ∧ (path∃(str, r, r0, st) → unchangedNorec(r0, st, st0))) substlist: [st0, st, r, str] → [st[r0 -- sk, val], st, r, str] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((1, 0, 3)) dummy: () ]

Additional information

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