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Proof step 73 from proof hasSharing-addobj-same (previous step)

sks0 = sk0 + sks, fis[sk] = refval(r1), (addobj(r, class, fis, st)[r1 -- sks1]) = refval(r0), fis .keys = instfields(class), (addobj(r, class, fis, st)[(addobj(r, class, fis, st)[r -- sk0]) .refval -- sks]) = refval(r0), sk ∈ fis, validfieldinits(str, fis, st), newref(r, st), fits(r, sks0, addobj(r, class, fis, st)), fits(r1, sks1, addobj(r, class, fis, st)), sk ∈ instfields(class), is_referencevalue(addobj(r, class, fis, st)[r -- (sk ' + sks1)]), disjoint(str, fis .vals .nonnullrefs, st), is_referencevalue(addobj(r, class, fis, st)[r -- sks0]) ⊦ sks0 = [], r0 = jvmref, sks0 = sk ' + sks1, r = jvmref, junkref(str, r, addobj(r, class, fis, st)), hasSharing(fis .vals .nonnullrefs, st), dups(fis .vals .nonnullrefs)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 72:
fis[sk] = refval(r1), (addobj(r, class, fis, st)[r1 -- sks1]) = refval(r0), fis .keys = instfields(class), (addobj(r, class, fis, st)[(addobj(r, class, fis, st)[r -- sk0]) .refval -- sks]) = refval(r0), sk ∈ fis, validfieldinits(str, fis, st), newref(r, st), fits(r, sk0 ' + sks, addobj(r, class, fis, st)), fits(r1, sks1, addobj(r, class, fis, st)), sk ∈ instfields(class), is_referencevalue(addobj(r, class, fis, st)[r -- (sk ' + sks1)]), disjoint(str, fis .vals .nonnullrefs, st), is_referencevalue(addobj(r, class, fis, st)[r -- (sk0 ' + sks)]) ⊦ r = jvmref, r0 = jvmref, sk0 ' + sks = sk ' + sks1, junkref(str, r, addobj(r, class, fis, st)), hasSharing(fis .vals .nonnullrefs, st), dups(fis .vals .nonnullrefs)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : list, storekeys, a, ⊦ (sks + sks0) + sks1 = sks + sks0 + sks1], [CSIMPNAMEDSEQ : list, storekeys, e-01, ⊦ sk ' + sks ≠ []], [CSIMPNAMEDSEQ : list, storekeys, c, ⊦ sk + sks = sk ' + sks])]]