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Proof step 10 from proof getbar-onlyModified-all (previous step)

j = i1 + 1, 0 ≤ j, 0 ≤ i, onlyModified(str, r, st, st0), okbytearray(r1, st), okbytearray(r, st), 0 < j, ∀ i0, st1, str0, r0, st2, r2, j0. ¬ j ≤ j0 → ( okbytearray(r2, st2) ∧ okbytearray(r0, st2) ∧ onlyModified(str0, r2, st2, st1) ∧ ¬ i0 < 0 ∧ ¬ j0 < 0 → getbytearray(r0, i0, j0, st2) = getbytearray(r0, i0, j0, st1) ∨ r2 = r0), ∀ r1, st0, st, r, str, i, j0. i→n(j0) < i→n(j) → ( 0 ≤ j0 ∧ 0 ≤ i ∧ onlyModified(str, r, st, st0) ∧ okbytearray(r1, st) ∧ okbytearray(r, st) ∧ (∀ i, st0, str, r1, st, r, j1. i→n(j1) < i→n(j0) → ( okbytearray(r, st) ∧ okbytearray(r1, st) ∧ onlyModified(str, r, st, st0) ∧ 0 ≤ i ∧ 0 ≤ j1 → getbytearray(r1, i, j1, st) = getbytearray(r1, i, j1, st0) ∨ r = r1)) → r = r1 ∨ getbytearray(r1, i, j0, st) = getbytearray(r1, i, j0, st0)) ⊦ r = r1, st[r1 -- i '] .byteval ' + getbytearray(r1, i + 1, i1, st) = getbytearray(r1, i, j, st0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
0 ≤ i, onlyModified(str, r, st, st0), okbytearray(r1, st), okbytearray(r, st), 0 ≤ i1, ∀ i0, st1, str0, r0, st2, r2, j. ¬ i1 < j → ( okbytearray(r2, st2) ∧ okbytearray(r0, st2) ∧ onlyModified(str0, r2, st2, st1) ∧ ¬ i0 < 0 ∧ ¬ j < 0 → getbytearray(r0, i0, j, st2) = getbytearray(r0, i0, j, st1) ∨ r2 = r0), ∀ r1, st0, st, r, str, i, j0. i→n(j0) < i→n(i1 + 1) → ( 0 ≤ j0 ∧ 0 ≤ i ∧ onlyModified(str, r, st, st0) ∧ okbytearray(r1, st) ∧ okbytearray(r, st) ∧ (∀ i, st0, str, r1, st, r, j1. i→n(j1) < i→n(j0) → ( okbytearray(r, st) ∧ okbytearray(r1, st) ∧ onlyModified(str, r, st, st0) ∧ 0 ≤ i ∧ 0 ≤ j1 → getbytearray(r1, i, j1, st) = getbytearray(r1, i, j1, st0) ∨ r = r1)) → r = r1 ∨ getbytearray(r1, i, j0, st) = getbytearray(r1, i, j0, st0)) ⊦ r = r1, st[r1 -- i '] .byteval ' + getbytearray(r1, i + 1, i1, st) = getbytearray(r1, i, i1 + 1, st0)

Rule argument

[emptyarg]

Additional information

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