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Proof step 16 from proof get-rec-01 (previous step)

0 ≤ i0, 1 < i0, 0 < i0, ∀ i1, r, i, st. i→n(i1) < i→n(i0) → (0 ≤ i1 → getarray(r, i, i1 + 1, st) = st[r -- i '] ' + getarray(r, i + 1, i1, st)) ⊦ getarray(r, i, i0 + 1, st) = st[r -- i '] ' + getarray(r, i + 1, i0 - 1, st) + st[r -- (i + i0) '] '

Heuristic var elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 15:
i0 = i2 + 1, 0 ≤ i0, 1 < i0, 0 < i0, ∀ i1, r, i, st. i→n(i1) < i→n(i0) → (0 ≤ i1 → getarray(r, i, i1 + 1, st) = st[r -- i '] ' + getarray(r, i + 1, i1, st)) ⊦ getarray(r, i, i0 + 1, st) = st[r -- i '] ' + getarray(r, i + 1, i2, st) + st[r -- (i + i0) '] '

Rule argument

[speclemmaarg: ,i0 = i - j ↔ i = i0 + j ,[i, j, i0] → [i0, 1, i2] ,T ,int-abs , ,elim-sub ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ i0 = i - j ↔ i = i0 + j])], [EXTRATERMS : (i0, 1, i2)]]