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Proof step 30 from proof fits-no-refval (previous step)

st[r -- sk0] = refval(r0), sks1 ⊑ sks, fits(r0, sks + sk ', st), is_referencevalue(st[r0 -- sks1]), is_classtype(st[r -- _type] .type) → sk0 ∈ instfields(st[r -- _type] .type .class), is_arraytype(st[r -- _type] .type) → is_indexkey(sk0) ∧ 0 ≤ sk0 .index ∧ sk0 .index < st[r -- _length] .intval, ∀ sks0, r, sk, st, str. sks0 ⊑ sks ∧ fits(r, sks + sk ', st) → is_referencevalue(st[r -- sks0]) ∨ junkref(str, r, st) ⊦ r = jvmref, junkref(str, r0, st), junkref(str, r, st), is_referencevalue(st[r -- (sk0 ' + sks1)])

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: storefuns instance-name: lemma-name: lookup-rec-01 antecedent: succedent: sks ≠ [] → st[r -- (sk ' + sks)] = st[st[r -- sk] .refval -- sks] substlist: [sks, sk, r, st] → [sks1, sk0, r, st] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 3, 1, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : javavalue, , sel-09, ⊦ refval(r) .refval = r], [CSIMPNAMEDSEQ : list-last, storekeys, prefix-nil, ⊦ [] ⊑ sks], [CSIMPNAMEDSEQ : storefuns, , lookup-empty, ⊦ st[r -- []] = refval(r)], [CSIMPNAMEDSEQ : javavalue, , test-19, ⊦ is_referencevalue(refval(r))], [CSIMPNAMEDSEQ : list, storekeys, app, ⊦ sks + [] = sks], [CSIMPNAMEDSEQ : list, storekeys, a, ⊦ (sks + sks0) + sks1 = sks + sks0 + sks1], [CSIMPNAMEDSEQ : storefuns, , lookup-one, ⊦ st[r -- sk '] = st[r -- sk]])], [EXTRATERMS : (sks1, sk0, r, st)]]