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Proof step 123 from proof hasSharing-addobj-same (previous step)

sks0 ≠ [], fis[sk] = refval(r0), st[r0 -- sks] = refval(r1), fis .keys = instfields(class), st[r0 -- sks0] = refval(r1), sk ∈ instfields(class), 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), junkref(str, r0, st), is_referencevalue(addobj(r, class, fis, st)[(addobj(r, class, fis, st)[r -- sk]) .refval -- sks0]), (addobj(r, class, fis, st)[r -- (sk ' + sks)]) .refval ≠ jvmref ∧ (addobj(r, class, fis, st)[r -- (sk ' + sks)]) = (addobj(r, class, fis, st)[(addobj(r, class, fis, st)[r -- sk]) .refval -- sks0])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 122:
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) ⊦ sks0 = [], sks0 = sks, 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)[r0 -- sks0]), (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])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : javavalue, , sel-09, ⊦ refval(r) .refval = r], [CSIMPNAMEDSEQ : addfuns, , add-in-09, ⊦ sk ∈ fis → (addobj(r, class, fis, st) [r -- sk ] ) = fis[sk]])]]