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Proof step 166 from proof hasSharing-addobj-same (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 165:
st[r0 -- sks] = refval(r1) ∧ is_referencevalue(st[r0 -- sks]), fis .keys = instfields(class), st[r0 -- sks0] = st[r0 -- sks], validfieldinits(str, fis, st), newref(r, st), fits(r0, sks0, st), fits(r0, sks, st), r0 ∈ fis .vals .nonnullrefs ⊦ r = jvmref, r1 = jvmref, sks = [], sks0 = [], sks0 = sks, junkref(str, r, addobj(r, class, fis, st)), hasSharing(r, addobj(r, class, fis, st)), dups(fis .vals .nonnullrefs)

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], r1] 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], r1)]]