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Proof step 164 from proof putarray-addarray-01 (previous step)

¬ i0 < 0, 0 ≤ n→i(# vals) + i, 0 ≤ j, 0 ≤ i, i ≤ j, j ≤ n→i(# vals) + i, i0 < 0 ∨ j ≤ i0, i0 < i ∨ n→i(# vals) + i ≤ i0 ⊦ st[r -- i0 '] = (addarray(r, ty, mklist(initial_value(ty), i→n(i)) + vals, st)[r -- i0 ']), ¬ i0 < 0 ∧ ¬ i + n→i(# vals) ≤ i0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 163:
0 ≤ n→i(# vals) + i, 0 ≤ j, 0 ≤ i, i ≤ j, j ≤ n→i(# vals) + i, n→i(# vals) + i ≤ i0, i ≤ i0, j ≤ i0, 0 ≤ i0 ⊦ st[r -- i0 '] = (addarray(r, ty, mklist(initial_value(ty), i→n(i)) + vals, st)[r -- i0 '])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)], [CSIMPFORWARD : ⊦ i < j ∧ j ≤ j0 → i < j0], [CSIMPFORWARD : ⊦ i ≤ j ∧ j < j0 → i < j0], [CSIMPFORWARD : ⊦ j ≤ j0 ∧ j0 ≤ j1 → j ≤ j1], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ i + j = j + i])]]