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Proof step 15 from proof putar-getar (previous step)

1 < i1 + 1, n→i(# vals0) = i1 + 1, 0 ≤ i1, getarray(r, i + 1, i1 + 1 - 1, putArray(vals0, r, i + 1, st)) + (putArray(vals0, r, i + 1, st)[r -- ((i + 1) + i1 + 1 - 1) ']) = vals0 ⊦ vals0 = [], getarray(r, i + 1, i1, putArray(vals0, r, i + 1, st)) + vals0[i→n(i1)] ' = vals0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
n→i(# vals0) = i1 + 1, getarray(r, i + 1, i1, putArray(vals0, r, i + 1, st)) + (putArray(vals0, r, i + 1, st)[r -- (1 + i + i1) ']) ' = vals0, 0 ≤ i1, 0 < i1, (putArray(vals0, r, i + 1, st)[r -- (1 + i + i1) ']) ∈ vals0 ⊦ vals0 = [], getarray(r, i + 1, i1, putArray(vals0, r, i + 1, st)) + vals0[i→n(i1)] ' = vals0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ (vals + vals0) + vals1 = vals + vals0 + vals1], [CSIMPFORWARD : ⊦ vals + val ' = vals0 → val ∈ vals0], [CSIMPSEQ : ⊦ ((* j)) < i0 + ((* j0)) ↔ j - j0 < i0], [CSIMPSEQ : ⊦ vals + val = vals + val '], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + 0 = i], [CSIMPSEQ : ⊦ ((* i)) + i0 - ((* j)) = (i - j) + i0])]]