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Proof step 80 from proof hasSharing-addobj-same (previous step)

(addobj(r, class, fis, st)[fis[sk] .refval -- sks1]) = refval(r0), fis .keys = instfields(class), (addobj(r, class, fis, st)[r -- sks0]) = refval(r0), disjoint(str, fis .vals .nonnullrefs, st), is_referencevalue(addobj(r, class, fis, st)[r -- (sk ' + sks1)]), sk ∈ fis, validfieldinits(str, fis, st), newref(r, st), fits(r, sks0, addobj(r, class, fis, st)), is_referencevalue(fis[sk]), fits(fis[sk] .refval, sks1, addobj(r, class, fis, st)), sk ∈ instfields(class) ⊦ r0 = jvmref, sks0 = [], sks0 = 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] → [fis[sk], r1] 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 : (fis[sk], r1)]]