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Proof step 10 from proof unchanged-levelsubset (previous step)

path∃(str, r, r0, st) ↔ path∃(str, r, r0, st0), level⊆(str, str0), unchanged(str, r, st, st0), path∃(str, r, r0, st0) → unchangedNorec(r0, st, st0) ⊦ junkref(str, r, st), (path∃(str0, r, r0, st) ↔ path∃(str0, r, r0, st0)) ∧ (path∃(str0, r, r0, st) → unchangedNorec(r0, st, st0))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: cyclic instance-name: lemma-name: pathex-levelsubset-equiv antecedent: succedent: level⊆(str, str0) ∧ ¬ junkref(str, r, st) → (path∃(str0, r, r0, st) ↔ path∃(str, r, r0, st)) substlist: [str, str0, r, st, r0] → [str, str0, r, st0, r0] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 1, 1, 0, 1, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str, str0, r, st0, r0)]]