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Proof step 24 from proof addarray-disjoint-nosharing (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: junkrefs instance-name: lemma-name: validreflist-def antecedent: succedent: validreflist(str, vals, ty, st) ↔ (∀ val. val ∈ vals → is_referencevalue(val) ∧ validref(str, val .refval, ty, st)) substlist: [st, ty, vals, str] → [st, ty, mkjavavalues(refs), str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 9)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty, mkjavavalues(refs), str)]]