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Proof step 9 from proof bar-neq (previous step)

j ≤ i1 + j ∧ 0 ≤ j, bytevalues(getarray(r, i, j, st)) + bytevalues(getarray(r, i + j, i1, st)) = bytevalues(getarray(r0, i0, j, st0) + getarray(r0, i0 + j, i1 + j - j, st0)), 0 ≤ j, 0 ≤ i1 + j, 0 ≤ i1 ⊦ bytevalues(getarray(r, i, j, st)) = bytevalues(getarray(r0, i0, j, st0))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
⊦ bytevalues(vals + vals0) = bytevalues(vals) + bytevalues(vals0)
Proof step 8:
bytevalues(getarray(r, i, j, st)) + bytevalues(getarray(r, i + j, i1, st)) = bytevalues(getarray(r0, i0, j, st0)) + bytevalues(getarray(r0, i0 + j, i1, st0)), 0 ≤ j, 0 ≤ i1 + j, 0 ≤ i1 ⊦ bytevalues(getarray(r, i, j, st)) = bytevalues(getarray(r0, i0, j, st0))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j], [CSIMPSEQ : ⊦ i ≤ i + j ↔ 0 ≤ j], [CSIMPSEQ : ⊦ (vals + vals0) + vals1 = vals + vals0 + vals1], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + j - i = j])]]