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Proof step 3 from proof unchanged-pathex-unchNorec (previous step)

path∃(str, r, r0, st), unchanged(str, r, st, st0) ⊦ unchangedNorec(r0, st, st0)

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 2:
path∃(str, r, r0, st), ∀ r0. (path∃(str, r, r0, st) ↔ path∃(str, r, r0, st0)) ∧ (path∃(str, r, r0, st) → unchangedNorec(r0, st, st0)) ⊦ unchangedNorec(r0, st, st0)

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] → [st0, st, r, str] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((0, 0, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st0, st, r, str)]]