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Proof step 175 from proof addarray-put-01 (previous step)

¬ n < # val ', i→n(i) = n + i→n(j), 1 < i0 + j, 1 < i, 0 < i, i ≤ j + i0, 0 ≤ i, i ≤ i0 + j, 0 < j, 0 ≤ i0 + j, 0 ≤ i0, 0 < i0, j < i ⊦ initial_value(ty) = (val ' + mklist(initial_value(ty), i→n(i0)))[n], j = 0, i = j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 174:
i→n(i) = n + i→n(j), 1 < i0 + j, 1 < i, 0 < i, i ≤ j + i0, 0 ≤ i, i ≤ i0 + j, 0 < j, 0 ≤ i0 + j, 0 ≤ i0, 0 < i0, j < i ⊦ j = 0, i = j, initial_value(ty) = (mklist(initial_value(ty), i→n(i0))[n - 1]), n = 0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ m < 1 ↔ m = 0], [CSIMPSEQ : ⊦ (vals + vals0) + vals1 = vals + vals0 + vals1], [CSIMPSEQ : ⊦ # val ' = 0 +1], [CSIMPSEQ : ⊦ ¬ n < # vals → (vals + vals0)[n] = vals0[n - # vals]])]]