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Proof step 74 from proof putarray-addarray-01 (previous step)

¬ i→n(i2) < # vals, 0 < n→i(# vals) + i0, i2 < n→i(# vals) + i0, 0 < n→i(# vals) + i, 0 < i0, 0 ≤ i0 + i + n→i(# vals), 0 ≤ i0 + n→i(# vals), 0 ≤ i, i2 < n→i(# vals), 0 ≤ i2 + i, 0 ≤ i2 ⊦ vals[i→n(i2)] = (vals + mklist(initial_value(ty), i→n(i0)))[i→n(i2)], vals = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 73:
0 < n→i(# vals) + i0, i2 < n→i(# vals) + i0, 0 < n→i(# vals) + i, 0 < i0, 0 ≤ i0 + i + n→i(# vals), 0 ≤ i0 + n→i(# vals), 0 ≤ i, i2 < n→i(# vals), 0 ≤ i2 + i, 0 ≤ i2, # vals ≤ i→n(i2) ⊦ vals = [], vals[i→n(i2)] = (mklist(initial_value(ty), i→n(i0))[i→n(i2) - # vals])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ m < n ↔ n ≤ m], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ (vals + vals0) + vals1 = vals + vals0 + vals1], [CSIMPSEQ : ⊦ ¬ n < # vals → (vals + vals0)[n] = vals0[n - # vals]])]]