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Proof step 14 from proof at=get-offset (previous step)

j = i + 1, 0 ≤ i1, 0 ≤ i1 + i0, i1 < j, 0 < j + i0, 0 ≤ i0, 1 < j, 0 < j, ∀ r, st, i1, i0, j0. i→n(j0) < i→n(j) → (0 ≤ i0 ∧ 0 < j0 + i0 ∧ 0 < j0 ∧ i1 < j0 ∧ 0 ≤ i1 + i0 ∧ 0 ≤ i1 → st[r -- (i1 + i0) '] = (getarray(r, i0, j0, st)[i→n(i1)])) ⊦ st[r -- (i1 + i0) '] = (getarray(r, i0, i, st) + st[r -- (i0 + j - 1) '] ')[i→n(i1)]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
0 ≤ i1, 0 ≤ i1 + i0, i1 ≤ i, 0 ≤ i0, 0 ≤ i, 0 ≤ i + i0, 0 < i, ∀ r, st, i1, i0, j0. i→n(j0) < i→n(i + 1) → (0 ≤ i0 ∧ 0 < j0 + i0 ∧ 0 < j0 ∧ i1 < j0 ∧ 0 ≤ i1 + i0 ∧ 0 ≤ i1 → st[r -- (i1 + i0) '] = (getarray(r, i0, j0, st)[i→n(i1)])) ⊦ st[r -- (i1 + i0) '] = (getarray(r, i0, i, st) + st[r -- (i0 + i) '] ')[i→n(i1)]

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ 0 < i ∧ 0 < j → 0 < i + j], [CSIMPSEQ : ⊦ (~1) < i ↔ 0 ≤ i], [CSIMPSEQ : ⊦ ((* j)) < i0 + ((* j0)) ↔ j - j0 < i0], [CSIMPSEQ : ⊦ i < j + 1 ↔ i ≤ j], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + 0 = i], [CSIMPSEQ : ⊦ ((* i)) + i0 - ((* j)) = (i - j) + i0])]]