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Proof step 12 from proof putar-getar-01 (previous step)

0 < j, ∀ r, r0, i, j, st. r = r0 ∨ getarray(r, i, j, putArray(vals0, r0, i, st)) = getarray(r, i, j, st) ⊦ r = r0, st[r -- i '] ' + getarray(r, i + 1, j - 1, putArray(vals0, r0, i + 1, st)[r0 -- i ', val]) = getarray(r, i, j, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 11:
j = i0 + 1, 0 < j, ∀ r, r0, i, j, st. r = r0 ∨ getarray(r, i, j, putArray(vals0, r0, i, st)) = getarray(r, i, j, st) ⊦ r = r0, st[r -- i '] ' + getarray(r, i + 1, i0, putArray(vals0, r0, i + 1, st)[r0 -- i ', val]) = getarray(r, i, j, st)

Rule argument

[speclemmaarg: ,i0 = i - j ↔ i = i0 + j ,[i, j, i0] → [j, 1, i0] ,T ,int-abs , ,elim-sub ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ i0 = i - j ↔ i = i0 + j])], [EXTRATERMS : (j, 1, i0)]]