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Proof step 149 from proof addarray-disjoint-nosharing-01 (previous step)

(addarray(r, ty, vals, st)[r1 -- sks1]) = refval(r0), (addarray(r, ty, vals, st)[r2 -- sks]) = refval(r0), vals[i→n(i0)] = refval(r2), vals[i→n(i)] = refval(r1), is_referencevalue(addarray(r, ty, vals, st)[r -- (i ' ' + sks1)]), i < n→i(# vals), newref(r, st), validreflist(str, vals, ty, st), disjoint(str, vals .nonnullrefs, st), i0 < n→i(# vals), 0 ≤ i, fits(r1, sks1, addarray(r, ty, vals, st)), fits(r2, sks, st), 0 ≤ i0, is_referencevalue(addarray(r, ty, vals, st)[r -- (i0 ' ' + sks)]), st ⊆ addarray(r, ty, vals, st) ⊦ r0 = jvmref, vals = [], r = jvmref, i0 ' ' + sks = i ' ' + sks1, junkref(str, r2, st), hasSharing(vals .nonnullrefs, st), dups(vals .nonnullrefs)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: fits-subset-01 antecedent: succedent: st ⊆ st0 ∧ ¬ junkref(str, r, st) → (fits(r, sks, st0) ↔ fits(r, sks, st)) substlist: [st, st0, str, r, sks] → [st, addarray(r, ty, vals, st), str, r1, sks1] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((0, 0, 11)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, addarray(r, ty, vals, st), str, r1, sks1)]]