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Proof step 166 from proof putarray-addarray-01 (previous step)

¬ (0 ≤ i0 ∧ i0 < n→i(# (mklist(initial_value(ty), i→n(i)) + vals))), i0 < 0 ∨ j ≤ i0, i0 < i ∨ n→i(# vals) + i ≤ i0, 0 ≤ n→i(# vals) + i, 0 ≤ j, 0 ≤ i, i ≤ j, j ≤ n→i(# vals) + i ⊦ st[r -- i0 '] = (addarray(r, ty, mklist(initial_value(ty), i→n(i)) + vals, st)[r -- i0 ']), ¬ i0 < 0 ∧ ¬ i + n→i(# vals) ≤ i0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 165:
0 ≤ n→i(# vals) + i, 0 ≤ j, 0 ≤ i, i ≤ j, j ≤ n→i(# vals) + i, i0 < 0 ∨ j ≤ i0, i0 < i ∨ n→i(# vals) + i ≤ i0 ⊦ st[r -- i0 '] = (addarray(r, ty, mklist(initial_value(ty), i→n(i)) + vals, st)[r -- i0 ']), ¬ i0 < 0 ∧ ¬ i + n→i(# vals) ≤ i0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ m + n = n + m], [CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPSEQ : ⊦ 0 ≤ i → n→i(i→n(i)) = i], [CSIMPSEQ : ⊦ n→i(m + n) = n→i(m) + n→i(n)], [CSIMPSEQ : ⊦ (vals + vals0) + vals1 = vals + vals0 + vals1], [CSIMPSEQ : ⊦ # mklist(val, n) = n], [CSIMPSEQ : ⊦ # (vals + vals0) = # vals + # vals0], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]