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Proof step 181 from proof putarray-addarray-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 180:
i0 < j, 0 < i, i0 < i, 0 < i + n→i(# vals), 0 ≤ i0, i0 < i + n→i(# vals), j ≤ n→i(# vals) + i, i ≤ j, 0 ≤ i, 0 ≤ j, 0 ≤ n→i(# vals) + i, i0 < n→i(# vals) + i, 0 < j ⊦ (putArray(vals, r, i, addarray(r, ty, j, st))[r -- i0 ']) = (mklist(initial_value(ty), i→n(i)) + vals)[i→n(i0)]

Rule argument

[emptyarg]

Additional information

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