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Proof step 13 from proof addarray-disjoint-nosharing-01 (previous step)

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), newref(r, st), i < n→i(# vals), is_referencevalue(addarray(r, ty, vals, st)[r -- (i ' ' + sks1)]), junkref(str, r2, st) ⊦ i0 ' ' + sks = i ' ' + sks1, r = jvmref, vals = [], r0 = jvmref, dups(vals .nonnullrefs), hasSharing(vals .nonnullrefs, st), refval(r2) ∈ vals

User applied rule insert equation

And obtained the following new goals

Proof step 12:
vals[i→n(i)] = refval(r1), (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), newref(r, st), i < n→i(# vals), is_referencevalue(addarray(r, ty, vals, st)[r -- (i ' ' + sks1)]), junkref(str, r2, st) ⊦ i0 ' ' + sks = i ' ' + sks1, r = jvmref, vals = [], r0 = jvmref, dups(vals .nonnullrefs), hasSharing(vals .nonnullrefs, st), vals[i→n(i0)] ∈ vals

Rule argument

[inserteqarg: pos: left 2,T,T,()]

Additional information

[[CONCRETESIMPRULES : ()]]