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Proof step 103 from proof addarray-disjoint-nosharing (previous step)

(addarray(r, ty, mkjavavalues(refs), st)[r -- i ']) = refval(r1), (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(r1, 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 simplifier applied rule simplifier

And obtained the following new goals

Proof step 102:
(addarray(r, ty, mkjavavalues(refs), st)[r -- (i ' ' + sks1)]) = refval(r0), (addarray(r, ty, mkjavavalues(refs), st)[r -- sks0]) = refval(r0), (addarray(r, ty, mkjavavalues(refs), st)[r -- i ']) = refval(r1), 0 ≤ i, newref(r, st), validreflist(str, mkjavavalues(refs), ty, st), disjoint(str, refs, st), fits(r1, sks1, addarray(r, ty, mkjavavalues(refs), st)), fits(r, sks0, addarray(r, ty, mkjavavalues(refs), st)), i < n→i(# refs) ⊦ sks0 = i ' ' + sks1, sks0 = [], r0 = jvmref, r = jvmref, refs = [], hasSharing(refs, st), dups(refs)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_referencevalue(refval(r))])]]