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Proof step 36 from proof fits-no-refval (previous step)

st[r -- sks0 .first] = refval(r0), sks0 .rest ⊑ sks, fits(r0, sks + sk ', st), is_classtype(st[r -- _type] .type) → sks0 .first ∈ instfields(st[r -- _type] .type .class), is_arraytype(st[r -- _type] .type) → is_indexkey(sks0 .first) ∧ 0 ≤ sks0 .first .index ∧ sks0 .first .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, sks0 = [], is_referencevalue(st[r -- sks0]), junkref(str, r, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 35:
sks0 = sk0 + sks1, st[r -- sk0] = refval(r0), sks1 ⊑ sks, fits(r0, sks + sk ', st), 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, sks0 = [], is_referencevalue(st[r -- sks0]), junkref(str, r, st)

Rule argument

[x0lemmaarg: spec-name: list-data instance-name: storekeys lemma-name: elim-list-c antecedent: sks ≠ [] succedent: sk = sks .first ∧ sks0 = sks .rest ↔ sks = sk + sks0 substlist: [sks, sk, sks0] → [sks0, sk0, sks1] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : sks ≠ [] ⊦ sk = sks .first ∧ sks0 = sks .rest ↔ sks = sk + sks0])], [EXTRATERMS : (sks0, sk0, sks1)]]