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Proof step 21 from proof extension (previous step)

0 < j0, 0 ≤ i1, ∀ st0, j0, i0, r0, st, i, r, j1. i→n(j1) < i→n(i1 + 1) → ( true → ( bytevalues(getarray(r, i, j1, st)) = bytevalues(getarray(r0, i0, j0, st0)) ↔ j1 = j0 ∧ (∀ j1. 0 ≤ j1 ∧ j1 < j0 → st[r -- (i + j1) '] .byteval = st0[r0 -- (i0 + j1) '] .byteval) ∧ ¬ j0 < 0 ∨ ¬ 0 < j1 ∧ ¬ 0 < j0)) ⊦ st[r -- i '] .byteval ' + bytevalues(getarray(r, i + 1, i1, st)) = bytevalues(st0[r0 -- i0 '] ' + getarray(r0, i0 + 1, j0 - 1, st0)) ↔ i1 + 1 = j0 ∧ (∀ j. j ≤ i1 ∧ 0 ≤ j → st[r -- (i + j) '] .byteval = st0[r0 -- (i0 + j) '] .byteval)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 20:
0 ≤ i1, 0 < j0, ∀ st0, j0, i0, r0, st, i, r, j1. i→n(j1) < i→n(i1 + 1) → ( true → ( bytevalues(getarray(r, i, j1, st)) = bytevalues(getarray(r0, i0, j0, st0)) ↔ j1 = j0 ∧ (∀ j1. 0 ≤ j1 ∧ j1 < j0 → st[r -- (i + j1) '] .byteval = st0[r0 -- (i0 + j1) '] .byteval) ∧ ¬ j0 < 0 ∨ ¬ 0 < j1 ∧ ¬ 0 < j0)) ⊦ st[r -- i '] .byteval = st0[r0 -- i0 '] .byteval ∧ bytevalues(getarray(r, i + 1, i1, st)) = bytevalues(getarray(r0, i0 + 1, j0 - 1, st0)) ↔ i1 + 1 = j0 ∧ (∀ j. j ≤ i1 ∧ 0 ≤ j → st[r -- (i + j) '] .byteval = st0[r0 -- (i0 + j) '] .byteval)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ (bytes + bytes0) + bytes1 = bytes + bytes0 + bytes1], [CSIMPSEQ : ⊦ by ' + bytes = by0 ' + bytes0 ↔ by = by0 ∧ bytes = bytes0], [CSIMPSEQ : ⊦ (vals + vals0) + vals1 = vals + vals0 + vals1], [CSIMPSEQ : ⊦ by + bytes = by ' + bytes], [CSIMPSEQ : ⊦ bytevalues(val ' + vals) = val .byteval + bytevalues(vals)])]]