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Proof step 33 from proof putarray-addarray-01 (previous step)

i→n(i1) < # mklist(initial_value(ty), i→n(i)), i1 < i, 0 ≤ i, 0 ≤ i0 + n→i(# vals), 0 ≤ i0 + i + n→i(# vals), 0 < i0, i1 < i + n→i(# vals) + i0, 0 ≤ i1, 0 < i + n→i(# vals) + i0, 0 < i ⊦ initial_value(ty) = (mklist(initial_value(ty), i→n(i))[i→n(i1)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 32:
0 ≤ i, 0 ≤ i0 + n→i(# vals), 0 ≤ i0 + i + n→i(# vals), 0 < i0, i1 < i + n→i(# vals) + i0, 0 ≤ i1, 0 < i + n→i(# vals) + i0, 0 < i, i1 < i ⊦ initial_value(ty) = (mklist(initial_value(ty), i→n(i))[i→n(i1)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j = j + i], [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])]]