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Proof step 70 from proof hasSharing-addobj-same (previous step)

fis[sk] = refval(r1), (addobj(r, class, fis, st)[r1 -- sks1]) = refval(r0), fis .keys = instfields(class), (addobj(r, class, fis, st)[(addobj(r, class, fis, st)[r -- sk0]) .refval -- sks]) = refval(r0), fits(r1, sks1, addobj(r, class, fis, st)), sk ∈ instfields(class), is_referencevalue(addobj(r, class, fis, st)[r -- (sk ' + sks1)]), disjoint(str, fis .vals .nonnullrefs, st), is_referencevalue(addobj(r, class, fis, st)[r -- (sk0 ' + sks)]), sk ∈ fis, validfieldinits(str, fis, st), newref(r, st), is_referencevalue(addobj(r, class, fis, st)[r -- sk0]), fits((addobj(r, class, fis, st)[r -- sk0]) .refval, sks, addobj(r, class, fis, st)), sk0 ∈ instfields(class) ⊦ r0 = jvmref, sk0 ' + sks = sk ' + sks1, r = jvmref, junkref(str, r, addobj(r, class, fis, st)), hasSharing(fis .vals .nonnullrefs, st), dups(fis .vals .nonnullrefs)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: javavalue instance-name: lemma-name: elim-13 antecedent: succedent: is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) substlist: [val, r] → [addobj(r, class, fis, st)[r -- sk0], r2] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (addobj(r, class, fis, st)[r -- sk0], r2)]]