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Proof step 19 from proof extension (previous step)

j0 = i2 + 1, 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, i2, 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 18:
0 ≤ i1, 0 ≤ i2, ∀ 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, i2, st0)) ↔ (∀ j. j ≤ i2 ∧ 0 ≤ j → st[r -- (i + j) '] .byteval = st0[r0 -- (i0 + j) '] .byteval) ∧ i1 = i2

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPSEQ : ⊦ (~1) < i ↔ 0 ≤ i], [CSIMPSEQ : ⊦ ((* j)) < i0 + ((* j0)) ↔ j - j0 < i0], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + j = i + i0 ↔ j = i0])]]