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Proof step 234 from proof hasSharing-addobj-same (previous step)

st[r1 -- sks0] = st[r0 -- sks], fis .keys = instfields(class), r1 ∈ fis .vals .nonnullrefs, r0 ∈ fis .vals .nonnullrefs, fits(r1, sks0, st), fits(r0, sks, st), validreflist(str, mkjavavalues(fis .vals .nonnullrefs), mkclasstype(`java.lang.Object' .class), st), newref(r, st), validfieldinits(str, fis, st) ⊦ r = jvmref, st[r0 -- sks] .refval = jvmref, r1 = r0, hasSharing(fis .vals .nonnullrefs, st), dups(fis .vals .nonnullrefs), hasSharing(r, addobj(r, class, fis, st)), junkref(str, r, addobj(r, class, fis, st))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 233:
st[r0 -- sks] = refval(r2) ∧ is_referencevalue(st[r0 -- sks]), st[r1 -- sks0] = st[r0 -- sks], fis .keys = instfields(class), r1 ∈ fis .vals .nonnullrefs, r0 ∈ fis .vals .nonnullrefs, fits(r1, sks0, st), fits(r0, sks, st), validreflist(str, mkjavavalues(fis .vals .nonnullrefs), mkclasstype(`java.lang.Object' .class), st), newref(r, st), validfieldinits(str, fis, st) ⊦ r = jvmref, r2 = jvmref, r1 = r0, hasSharing(fis .vals .nonnullrefs, st), dups(fis .vals .nonnullrefs), hasSharing(r, addobj(r, class, fis, st)), junkref(str, r, addobj(r, class, fis, st))

Rule argument

[x0lemmaarg: spec-name: javavalue instance-name: lemma-name: elim-refval antecedent: is_referencevalue(val) succedent: r = val .refval ↔ val = refval(r) substlist: [val, r] → [st[r0 -- sks], r2] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : valuefuns, , refval-xtra, ⊦ ¬ is_referencevalue(val) → val .refval = jvmref], [CSIMPELIM : is_referencevalue(val) ⊦ r = val .refval ↔ val = refval(r)])], [EXTRATERMS : (st[r0 -- sks], r2)]]