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Proof step 122 from proof hasSharing-addobj-same (previous step)

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])

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: storefuns instance-name: lemma-name: lookup-subset-01 antecedent: succedent: st ⊆ st0 ∧ r -- sks ∈ st → st0[r -- sks] = st[r -- sks] substlist: [st, st0, r, sks] → [st, addobj(r, class, fis, st), r0, sks0] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 9)) 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 : javavalue, , test-19, ⊦ is_referencevalue(refval(r))])], [EXTRATERMS : (st, addobj(r, class, fis, st), r0, sks0)]]