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Proof step 206 from proof hasSharing-addobj-same (previous step)

fis[sk] = refval(r0), st[r0 -- sks] = refval(r2), st[r3 -- sks0] = refval(r2), fis[sk0] = refval(r3), sk0 ∈ fis .keys, sk ∈ fis .keys, sk0 ∈ fis, sk ∈ fis, fits(r3, sks0, st), fits(r0, sks, st), newref(r, st), validfieldinits(str, fis, st) ⊦ r0 = jvmref, r = jvmref, r2 = jvmref, r3 = r0, r3 = jvmref, sk = sk0, hasSharing(fis .vals .nonnullrefs, st), dups(fis .vals .nonnullrefs), junkref(str, r, addobj(r, class, fis, st)), junkref(str, r0, st), fits(r3, sks0, 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)[r -- (sk0 ' + sks0)])

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: fits-subset-01 antecedent: succedent: st ⊆ st0 ∧ ¬ junkref(str, r, st) → (fits(r, sks, st0) ↔ fits(r, sks, st)) substlist: [st, st0, str, r, sks] → [st, addobj(r, class, fis, st), str, r3, sks0] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((1, 0, 10, 1, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : addfuns, , stsubset-addobj, ⊦ newref(r, st) → ( st ⊆ addobj (r, class1, fis, st0) ↔ st ⊆ st0)], [CSIMPNAMEDSEQ : store, javastore, sub-ref, ⊦ st ⊆ st], [CSIMPNAMEDSEQ : junkrefs, , validfieldinits-junkref, ⊦ junkref(str, r, st) ∧ fis[sk] = refval(r) ∧ sk ∈ fis → ¬ validfieldinits (str, fis, st)])], [EXTRATERMS : (st, addobj(r, class, fis, st), str, r3, sks0)]]