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Proof step 6 from proof unchanged-lookup-generic (previous step)

st[r0 -- _type] = st0[r0 -- _type], st[r0 -- _length] = st0[r0 -- _length], is_arraytype(st0[r0 -- _type] .type), path∃(str, r, r0, st), path∃(str, r, r0, st0), is_indexkey(sk), sk .index < st0[r0 -- _length] .intval, 0 ≤ sk .index, 0 < st0[r0 -- _length] .intval, ∀ i. ¬ i < 0 ∧ ¬ st0[r0 -- _length] .intval ≤ i → st[r0 -- i '] = st0[r0 -- i '] ⊦ r0 = jvmref, st[r0 -- sk] = st0[r0 -- sk]

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 5:
sk = i0 ', st[r0 -- _type] = st0[r0 -- _type], st[r0 -- _length] = st0[r0 -- _length], is_arraytype(st0[r0 -- _type] .type), path∃(str, r, r0, st), path∃(str, r, r0, st0), is_indexkey(sk), i0 < st0[r0 -- _length] .intval, 0 ≤ i0, 0 < st0[r0 -- _length] .intval, ∀ i. ¬ i < 0 ∧ ¬ st0[r0 -- _length] .intval ≤ i → st[r0 -- i '] = st0[r0 -- i '] ⊦ r0 = jvmref, st[r0 -- sk] = st0[r0 -- sk]

Rule argument

[x0lemmaarg: spec-name: storekey instance-name: lemma-name: elim-04 antecedent: succedent: is_indexkey(sk) → (i = sk .index ↔ sk = i ') substlist: [sk, i] → [sk, i0] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_indexkey(sk) → (i = sk .index ↔ sk = i ')])], [EXTRATERMS : (sk, i0)]]