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Proof step 182 from proof addarray-put-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 181:
0 ≤ i0, 0 ≤ i0 + j, 0 < j, i ≤ i0 + j, 0 ≤ i, i ≤ j + i0, i < j ⊦ j = 0, initial_value(ty) = (mklist(initial_value(ty), i→n(j))[i→n(i)]), i = j

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])]]