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Proof step 26 from proof at-put-prim (previous step)

st[r0 -- sk0] = refval(r1), is_array(str, r0, st), fits(r1, sks0, st), is_referencevalue(st[r1 -- sks0]), junkref(str, r1, st), is_arraytype(st[r0 -- _type] .type), is_indexkey(sk0), sk0 .index < st[r0 -- _length] .intval, 0 ≤ sk0 .index, 0 < st[r0 -- _length] .intval, r0 ≠ r ∨ sk0 ≠ sk ⊦ sks0 = [], r0 = jvmref, (st[r -- sk, val][r1 -- sks0]) = st[r1 -- sks0], junkref(str, r0, st), junkref(str, r, st), is_referencevalue(st[r -- sk])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 25:
sk0 = i ', st[r0 -- sk0] = refval(r1), is_array(str, r0, st), fits(r1, sks0, st), is_referencevalue(st[r1 -- sks0]), junkref(str, r1, st), is_arraytype(st[r0 -- _type] .type), is_indexkey(sk0), i < st[r0 -- _length] .intval, 0 ≤ i, 0 < st[r0 -- _length] .intval, r0 ≠ r ∨ sk0 ≠ sk ⊦ sks0 = [], r0 = jvmref, (st[r -- sk, val][r1 -- sks0]) = st[r1 -- sks0], junkref(str, r0, st), junkref(str, r, st), is_referencevalue(st[r -- 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] → [sk0, i] 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 : (sk0, i)]]