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Proof step 144 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)[(addobj(r, class, fis, st)[r -- (sk ' + sks) .first]) .refval -- (sk ' + sks) .rest]) .refval ≠ jvmref ∧ (addobj(r, class, fis, st)[(addobj(r, class, fis, st)[r -- (sk ' + sks) .first]) .refval -- (sk ' + sks) .rest]) = (addobj(r, class, fis, st)[r0 -- sks0])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 143:
fis[sk] = refval(r0), st[r0 -- sks] = refval(r1), fis .keys = instfields(class), st[r0 -- sks0] = refval(r1), is_referencevalue(addobj(r, class, fis, st)[r -- (sk ' + sks0)]), sk ∈ instfields(class), validfieldinits(str, fis, st), newref(r, st), fits(r0, sks0, st), fits(r0, sks, st), sk ∈ fis, is_referencevalue(addobj(r, class, fis, st)[r -- (sk ' + sks)]) ⊦ r0 = jvmref, r = jvmref, r1 = jvmref, sks = [], sks0 = [], sks0 = sks, junkref(str, r, addobj(r, class, fis, st)), dups(fis .vals .nonnullrefs), junkref(str, r0, st), (addobj(r, class, fis, st)[r0 -- sks]) .refval ≠ jvmref ∧ (addobj(r, class, fis, st)[r0 -- sks]) = (addobj(r, class, fis, st)[r0 -- sks0])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : javavalue, , sel-09, ⊦ refval(r) .refval = r], [CSIMPNAMEDSEQ : list, storekeys, c-07, ⊦ (sk ' + sks) .rest = sks], [CSIMPNAMEDSEQ : addfuns, , add-in-09, ⊦ sk ∈ fis → (addobj(r, class, fis, st) [r -- sk ] ) = fis[sk]], [CSIMPNAMEDSEQ : list, storekeys, c-08, ⊦ (sk ' + sks) .first = sk], [CSIMPNAMEDSEQ : list, storekeys, a, ⊦ (sks + sks0) + sks1 = sks + sks0 + sks1], [CSIMPNAMEDSEQ : list, storekeys, e-01, ⊦ sk ' + sks ≠ []])]]