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Proof step 177 from proof putarray-addarray-01 (previous step)

i→n(i0) < # mklist(initial_value(ty), i→n(i)), 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 ⊦ initial_value(ty) = (mklist(initial_value(ty), i→n(i))[i→n(i0)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 176:
i0 < j, 0 < 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, i0 < i ⊦ initial_value(ty) = (mklist(initial_value(ty), i→n(i))[i→n(i0)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ 0 < j → abs(j) = j], [CSIMPSEQ : ⊦ 0 ≤ i → abs(i) = i], [CSIMPSEQ : ⊦ i→n(i) < i→n(j) ↔ abs(i) < abs(j)], [CSIMPSEQ : ⊦ # mklist(val, n) = n])]]