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Proof step 158 from proof addarray-disjoint-nosharing-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 157:
vals[i→n(i)] = refval(r1), (addarray(r, ty, vals, st)[r -- (i ' ' + sks1)]) = refval(r0), (addarray(r, ty, vals, st)[r -- (i0 ' ' + sks)]) = refval(r0), 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)), is_referencevalue(vals[i→n(i0)]), fits(vals[i→n(i0)] .refval, sks, addarray(r, ty, vals, st)), 0 ≤ i0 ⊦ r0 = jvmref, vals = [], r = jvmref, i0 ' ' + sks = i ' ' + sks1, hasSharing(vals .nonnullrefs, st), dups(vals .nonnullrefs)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDFORWARD : int-abs, , forward-le-01, ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPNAMEDSEQ : storekey, , test-08, ⊦ is_indexkey(i ')], [CSIMPNAMEDSEQ : addarray, , add-at-ok, ⊦ 0 ≤ i ∧ i < n→i(# vals) → (addarray(r, ty, vals, st) [r -- i ' ] ) = vals[i→n(i)]])]]