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Proof step 112 from proof addarray-disjoint-nosharing (previous step)

(addarray(r, ty, mkjavavalues(refs), st)[r -- sks0]) = (addarray(r, ty, mkjavavalues(refs), st)[r -- sks]), fits(r, sks0, addarray(r, ty, mkjavavalues(refs), st)), fits(r, sks, addarray(r, ty, mkjavavalues(refs), st)), disjoint(str, refs, st), validreflist(str, mkjavavalues(refs), ty, st), newref(r, st) ⊦ r = jvmref, (addarray(r, ty, mkjavavalues(refs), st)[r -- sks]) .refval = jvmref, sks = [], sks0 = [], sks0 = sks, dups(refs), hasSharing(refs, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 111:
(addarray(r, ty, mkjavavalues(refs), st)[r -- sks]) = refval(r0) ∧ is_referencevalue(addarray(r, ty, mkjavavalues(refs), st)[r -- sks]), (addarray(r, ty, mkjavavalues(refs), st)[r -- sks0]) = (addarray(r, ty, mkjavavalues(refs), st)[r -- sks]), fits(r, sks0, addarray(r, ty, mkjavavalues(refs), st)), fits(r, sks, addarray(r, ty, mkjavavalues(refs), st)), disjoint(str, refs, st), validreflist(str, mkjavavalues(refs), ty, st), newref(r, st) ⊦ r = jvmref, r0 = jvmref, sks = [], sks0 = [], sks0 = sks, dups(refs), hasSharing(refs, 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] → [addarray(r, ty, mkjavavalues(refs), st)[r -- sks], r0] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_referencevalue(val) → val .refval = jvmref], [CSIMPELIM : is_referencevalue(val) ⊦ r = val .refval ↔ val = refval(r)])], [EXTRATERMS : (addarray(r, ty, mkjavavalues(refs), st)[r -- sks], r0)]]