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Proof step 106 from proof addarray-disjoint-nosharing (previous step)

(addarray(r, ty, mkjavavalues(refs), st)[r -- sks0]) = refval(r0), (addarray(r, ty, mkjavavalues(refs), st)[r -- (sk ' + sks1)]) = refval(r0), sk .index < n→i(# refs), is_indexkey(sk), fits(r, sks0, addarray(r, ty, mkjavavalues(refs), st)), fits((addarray(r, ty, mkjavavalues(refs), st)[r -- sk]) .refval, sks1, addarray(r, ty, mkjavavalues(refs), st)), is_referencevalue(addarray(r, ty, mkjavavalues(refs), st)[r -- sk]), disjoint(str, refs, st), validreflist(str, mkjavavalues(refs), ty, st), newref(r, st), 0 ≤ sk .index ⊦ refs = [], r = jvmref, r0 = jvmref, sks0 = [], sks0 = sk ' + sks1, dups(refs), hasSharing(refs, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: storekey instance-name: lemma-name: elim-04 antecedent: succedent: is_indexkey(sk) → (i = sk .index ↔ sk = i ') substlist: [sk, i] → [sk, i] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_indexkey(sk) → (i = sk .index ↔ sk = i ')])], [EXTRATERMS : (sk, i)]]