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Proof step 226 from proof hasSharing-addobj-same (previous step)

fis[sk0] = refval(r1), fis .keys = instfields(class), st[r1 -- sks0] = refval(r2), st[r0 -- sks] = refval(r2), fis[sk] = refval(r0), validfieldinits(str, fis, st), newref(r, st), fits(r0, sks, st), fits(r1, sks0, st), sk ∈ fis, sk0 ∈ fis ⊦ r1 = jvmref, r1 = r0, r2 = jvmref, r = jvmref, r0 = jvmref, junkref(str, r, addobj(r, class, fis, st)), dups(fis .vals .nonnullrefs), hasSharing(fis .vals .nonnullrefs, st), ∃ sks1, sks2. fits(r, sks1, addobj(r, class, fis, st)) ∧ fits(r, sks2, addobj(r, class, fis, st)) ∧ sks1 ≠ sks2 ∧ (addobj(r, class, fis, st)[r -- sks1]) .refval ≠ jvmref ∧ (addobj(r, class, fis, st)[r -- sks1]) = (addobj(r, class, fis, st)[r -- sks2])

User applied rule cut formula

And obtained the following new goals

Proof step 225:
fis[sk0] = refval(r1), fis .keys = instfields(class), st[r1 -- sks0] = refval(r2), st[r0 -- sks] = refval(r2), fis[sk] = refval(r0), validfieldinits(str, fis, st), newref(r, st), fits(r0, sks, st), fits(r1, sks0, st), sk ∈ fis, sk0 ∈ fis ⊦ sk = sk0, r1 = jvmref, r1 = r0, r2 = jvmref, r = jvmref, r0 = jvmref, junkref(str, r, addobj(r, class, fis, st)), dups(fis .vals .nonnullrefs), hasSharing(fis .vals .nonnullrefs, st), ∃ sks1, sks2. fits(r, sks1, addobj(r, class, fis, st)) ∧ fits(r, sks2, addobj(r, class, fis, st)) ∧ sks1 ≠ sks2 ∧ (addobj(r, class, fis, st)[r -- sks1]) .refval ≠ jvmref ∧ (addobj(r, class, fis, st)[r -- sks1]) = (addobj(r, class, fis, st)[r -- sks2])

Rule argument

[fma-arg: sk = sk0]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : javavalue, , inj-03, ⊦ refval(r) = refval(r0) ↔ r = r0])], [EXTRAFMAS : (sk = sk0)]]