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Proof step 68 from proof fits-put-stronger (previous step)

st[r -- sk] = refval(r0), is_array(str, r, st), okarray(r1, byte_type, st), r1 ∈ st, fits(r0, sks0, st), is_arraytype(st[r -- _type] .type), is_indexkey(sk), sk .index < st[r -- _length] .intval, 0 ≤ sk .index, 0 < st[r -- _length] .intval, ∀ r, st, r1, i, by, str. fits(r, sks0, st) ∧ okarray(r1, byte_type, st) ∧ r1 ∈ st → (st[r1 -- i ', byteval(by)][r -- sks0]) = st[r -- sks0] ∨ r1 = jvmref ∨ junkref(str, r, st) ⊦ r1 = jvmref, (st[r1 -- i ', byteval(by)][r -- (sk ' + sks0)]) = st[r -- (sk ' + sks0)], r = jvmref, junkref(str, r, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 67:
sk = i0 ', st[r -- sk] = refval(r0), is_array(str, r, st), okarray(r1, byte_type, st), r1 ∈ st, fits(r0, sks0, st), is_arraytype(st[r -- _type] .type), is_indexkey(sk), i0 < st[r -- _length] .intval, 0 ≤ i0, 0 < st[r -- _length] .intval, ∀ r, st, r1, i, by, str. fits(r, sks0, st) ∧ okarray(r1, byte_type, st) ∧ r1 ∈ st → (st[r1 -- i ', byteval(by)][r -- sks0]) = st[r -- sks0] ∨ r1 = jvmref ∨ junkref(str, r, st) ⊦ r1 = jvmref, (st[r1 -- i ', byteval(by)][r -- (sk ' + sks0)]) = st[r -- (sk ' + sks0)], r = jvmref, junkref(str, r, st)

Rule argument

[speclemmaarg: ,is_indexkey(sk) → (i = sk .index ↔ sk = i ') ,[sk, i] → [sk, i0] ,T ,storekey , ,elim-04 ]

Additional information

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