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Proof step 66 from proof putarray-addarray-01 (previous step)

¬ (i ≤ i1 ∧ i1 < n→i(# vals) + i), 0 ≤ i, 0 ≤ i0 + n→i(# vals), 0 ≤ i0 + i + n→i(# vals), 0 < i0 ⊦ (putArray(vals, r, i, addarray(r, ty, i0 + i + n→i(# vals), st))[r -- i1 ']) = (addarray(r, ty, mklist(initial_value(ty), i→n(i)) + vals + mklist(initial_value(ty), i→n(i0)), st)[r -- i1 '])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 65:
0 ≤ i, 0 ≤ i0 + n→i(# vals), 0 ≤ i0 + i + n→i(# vals), 0 < i0 ⊦ (putArray(vals, r, i, addarray(r, ty, i0 + i + n→i(# vals), st))[r -- i1 ']) = (addarray(r, ty, mklist(initial_value(ty), i→n(i)) + vals + mklist(initial_value(ty), i→n(i0)), st)[r -- i1 ']), ¬ i1 < i ∧ ¬ n→i(# vals) + i ≤ i1

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ i + j = j + i])]]