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Proof step 104 from proof addarray-disjoint-nosharing (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: javavalue instance-name: lemma-name: elim-13 antecedent: succedent: is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) substlist: [val, r] → [addarray(r, ty, mkjavavalues(refs), st)[r -- i '], r1] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (addarray(r, ty, mkjavavalues(refs), st)[r -- i '], r1)]]