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Proof step 4 from proof getba-neq-01 (previous step)

st1[r -- i '] .byteval = st1[r1 -- i '] .byteval, getbytearray(r, i + 1, j - 1, st1) = getbytearray(r1, i + 1, j - 1, st1), 0 < i + j, i ≤ i1, i1 < i + j, 0 ≤ i, 0 ≤ i1, 0 < j, ∀ i1, r1, st1, i, r, j0. i→n(j0) < i→n(j) → ( getbytearray(r, i, j0, st1) = getbytearray(r1, i, j0, st1) ∧ 0 < j0 ∧ 0 ≤ i1 ∧ 0 ≤ i ∧ i1 < i + j0 ∧ i ≤ i1 ∧ 0 < i + j0 → st1[r -- i1 '] .byteval = st1[r1 -- i1 '] .byteval) ⊦ st1[r -- i1 '] .byteval = st1[r1 -- i1 '] .byteval

User applied rule apply induction

And obtained the following new goals

Proof step 3:
⊦ getbytearray(r, i, 0, st) = []

Rule argument

[substlist-arg: [i1, r1, st1, i, r, j0] → [i1, r1, st1, i + 1, r, j - 1] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i→n(i - 1) < i→n(i) ↔ 0 < i], [CSIMPSEQ : ⊦ i < j - i0 ↔ i + i0 < j], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ 0 < i → (i ≤ 1 ↔ i = 1)], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ ((* j)) ≤ i0 + ((* j0)) ↔ j - j0 ≤ i0], [CSIMPSEQ : i0 ≠ 0, i0 ≤ i ⊦ ((* i)) ≤ j → ((* i0)) ≤ j], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + (j - i) = j], [CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)], [CSIMPSEQ : ⊦ i + 1 ≤ j ↔ i < j], [CSIMPSEQ : ⊦ i ≤ j → (j ≤ i ↔ i = j)], [CSIMPSEQ : ⊦ i = j → i - j = 0], [CSIMPSEQ : ⊦ i < j + 1 ↔ i ≤ j], [CSIMPSEQ : ⊦ ((* j)) < i0 + ((* j0)) ↔ j - j0 < i0], [CSIMPSEQ : ⊦ (~1) < i ↔ 0 ≤ i], [CSIMPSEQ : ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j])], [EXTRATERMS : (i1, r1, st1, i + 1, r, j - 1)]]