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Proof step 160 from proof hasSharing-addobj-same (previous step)

fis[sk] = refval(r0), st[r0 -- sks] = refval(r1), fis .keys = instfields(class), st[r0 -- sks0] = refval(r1), validfieldinits(str, fis, st), newref(r, st), fits(r0, sks0, st), fits(r0, sks, st), sk ∈ fis ⊦ r0 = jvmref, r = jvmref, r1 = jvmref, sks = [], sks0 = [], sks0 = sks, junkref(str, r, addobj(r, class, fis, st)), dups(fis .vals .nonnullrefs), fits(r, sk ' + sks, addobj(r, class, fis, st)) ∧ fits(r, sk ' + sks0, addobj(r, class, fis, st)) ∧ sk ' + sks ≠ sk ' + sks0 ∧ (addobj(r, class, fis, st)[r -- (sk ' + sks)]) .refval ≠ jvmref ∧ (addobj(r, class, fis, st)[r -- (sk ' + sks)]) = (addobj(r, class, fis, st)[r -- (sk ' + sks0)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 159:
fis[sk] = refval(r0), st[r0 -- sks] = refval(r1), fis .keys = instfields(class), st[r0 -- sks0] = refval(r1), validfieldinits(str, fis, st), newref(r, st), fits(r0, sks0, st), fits(r0, sks, st), sk ∈ fis ⊦ r0 = jvmref, r = jvmref, r1 = jvmref, sks = [], sks0 = [], sks0 = sks, junkref(str, r, addobj(r, class, fis, st)), dups(fis .vals .nonnullrefs), fits(r, sk ' + sks, addobj(r, class, fis, st)) ∧ fits(r, sk ' + sks0, addobj(r, class, fis, st)) ∧ (addobj(r, class, fis, st)[r -- (sk ' + sks)]) .refval ≠ jvmref ∧ (addobj(r, class, fis, st)[r -- (sk ' + sks)]) = (addobj(r, class, fis, st)[r -- (sk ' + sks0)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : list, storekeys, a, ⊦ (sks + sks0) + sks1 = sks + sks0 + sks1], [CSIMPNAMEDSEQ : list, storekeys, app-01, ⊦ sks + sks0 = sks + sks1 ↔ sks0 = sks1])]]