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Proof step 152 from proof addarray-disjoint-nosharing-01 (previous step)

is_referencevalue(addarray(r, ty, vals, st)[r -- (i ' ' + sks1)]) ∧ i ' ' + sks1 ≠ [], vals[i→n(i0)] = refval(r2), vals[i→n(i)] = refval(r1), (addarray(r, ty, vals, st)[(addarray(r, ty, vals, st)[r -- (i ' ' + sks1) .first]) .refval -- (i ' ' + sks1) .rest]) = refval(r0), (addarray(r, ty, vals, st)[r2 -- 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)), fits(r2, sks, addarray(r, ty, vals, st)), 0 ≤ i0, is_referencevalue(addarray(r, ty, vals, st)[r -- (i0 ' ' + sks)]) ⊦ r0 = jvmref, vals = [], r = jvmref, i0 ' ' + sks = i ' ' + sks1, hasSharing(vals .nonnullrefs, st), dups(vals .nonnullrefs)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 151:
vals[i→n(i)] = refval(r1), vals[i→n(i0)] = refval(r2), (addarray(r, ty, vals, st)[r2 -- sks]) = refval(r0), (addarray(r, ty, vals, st)[r1 -- sks1]) = refval(r0), is_referencevalue(addarray(r, ty, vals, st)[r -- (i0 ' ' + sks)]), 0 ≤ i0, fits(r2, sks, addarray(r, ty, vals, st)), fits(r1, sks1, addarray(r, ty, vals, st)), 0 ≤ i, i0 < n→i(# vals), disjoint(str, vals .nonnullrefs, st), validreflist(str, vals, ty, st), newref(r, st), i < n→i(# vals), is_referencevalue(addarray(r, ty, vals, st)[r -- (i ' ' + sks1)]) ⊦ i0 ' ' + sks = i ' ' + sks1, r = jvmref, vals = [], r0 = jvmref, dups(vals .nonnullrefs), hasSharing(vals .nonnullrefs, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : javavalue, , sel-09, ⊦ refval(r) .refval = r], [CSIMPNAMEDSEQ : list, storekeys, e-01, ⊦ sk ' + sks ≠ []], [CSIMPNAMEDSEQ : list, storekeys, c-07, ⊦ (sk ' + sks) .rest = sks], [CSIMPNAMEDSEQ : addarray, , add-at-ok, ⊦ 0 ≤ i ∧ i < n→i(# vals) → (addarray(r, ty, vals, st) [r -- i ' ] ) = vals[i→n(i)]], [CSIMPNAMEDSEQ : list, storekeys, a, ⊦ (sks + sks0) + sks1 = sks + sks0 + sks1], [CSIMPNAMEDSEQ : list, storekeys, c-08, ⊦ (sk ' + sks) .first = sk])]]