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Proof step 188 from proof addarray-put-01 (previous step)

0 ≤ i0, 0 ≤ i0 + j, 0 < j, ∃ i. sk = i ' ⊦ (addarray(r, ty, i0 + j + 1, st)[r -- sk]) = (addarray(r, ty, mklist(initial_value(ty), i→n(j)) + val ' + mklist(initial_value(ty), i→n(i0)), st)[r -- sk]), sk = j ', j = 0, sk = _type, sk = _length

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 187:
0 ≤ i0, 0 ≤ i0 + j, 0 < j ⊦ j = 0, (addarray(r, ty, i0 + j + 1, st)[r -- i ']) = (addarray(r, ty, mklist(initial_value(ty), i→n(j)) + val ' + mklist(initial_value(ty), i→n(i0)), st)[r -- i ']), i = j

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ _length ≠ i '], [CSIMPSEQ : ⊦ _type ≠ i '], [CSIMPSEQ : ⊦ i ' = i0 ' ↔ i = i0])]]