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Proof step 41 from proof fits-put-short-01 (previous step)

(st[r1 -- fs ', shortval(sho)][r -- sk]) = refval(r0), is_array(str, r, st), is_shortvalue(st[r1 -- fs ']), fits(r0, sks0, st[r1 -- fs ', shortval(sho)]), is_arraytype(st[r -- _type] .type), is_indexkey(sk), sk .index < (st[r1 -- fs ', shortval(sho)][r -- _length]) .intval, 0 ≤ sk .index, 0 < (st[r1 -- fs ', shortval(sho)][r -- _length]) .intval, r ≠ r1 ∨ _type ≠ fs ', junkref(str, r0, st) ∨ fits(r0, sks0, st) ⊦ r = jvmref, junkref(str, r, st), fits(st[r -- sk] .refval, sks0, st) ∧ ¬ st[r -- _length] .intval ≤ sk .index ∧ is_referencevalue(st[r -- sk])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 40:
sk = i ', (st[r1 -- fs ', shortval(sho)][r -- sk]) = refval(r0), is_array(str, r, st), is_shortvalue(st[r1 -- fs ']), fits(r0, sks0, st[r1 -- fs ', shortval(sho)]), is_arraytype(st[r -- _type] .type), is_indexkey(sk), i < (st[r1 -- fs ', shortval(sho)][r -- _length]) .intval, 0 ≤ i, 0 < (st[r1 -- fs ', shortval(sho)][r -- _length]) .intval, r ≠ r1 ∨ _type ≠ fs ', junkref(str, r0, st) ∨ fits(r0, sks0, st) ⊦ r = jvmref, junkref(str, r, st), fits(st[r -- sk] .refval, sks0, st) ∧ ¬ st[r -- _length] .intval ≤ i ∧ is_referencevalue(st[r -- sk])

Rule argument

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

Additional information

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