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Proof step 134 from proof hasSharing-addobj-same (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 133:
st[r0 -- sks0] = refval(r1), fis .keys = instfields(class), st[r0 -- sks] = refval(r1), fis[sk] = refval(r0), sk ∈ fis, fits(r0, sks, st), fits(r0, sks0, st), newref(r, st), validfieldinits(str, fis, st), sk ∈ instfields(class), is_referencevalue(addobj(r, class, fis, st)[r -- (sk ' + sks0)]) ⊦ sks0 = sks, sks0 = [], sks = [], r1 = jvmref, r = jvmref, r0 = jvmref, junkref(str, r0, st), dups(fis .vals .nonnullrefs), junkref(str, r, addobj(r, class, fis, st)), is_referencevalue(addobj(r, class, fis, st)[r -- (sk ' + sks)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : valuefuns, , refval-xtra, ⊦ ¬ is_referencevalue(val) → val .refval = jvmref], [CSIMPNAMEDSEQ : list, storekeys, a, ⊦ (sks + sks0) + sks1 = sks + sks0 + sks1], [CSIMPNAMEDSEQ : list, storekeys, e, ⊦ sk ' ≠ []], [CSIMPNAMEDSEQ : list, storekeys, app-02-ant, ⊦ ¬ sks + sks0 ≠ [] ↔ sks = [] ∧ sks0 = []])]]