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Proof step 8 from proof extension (previous step)

bytevalues(getarray(r, i + 1, i2, st)) = bytevalues(getarray(r0, i0 + 1, i2, st0)), st[r -- i '] .byteval = st0[r0 -- i0 '] .byteval, 0 ≤ j, j ≤ i2, 0 < i2, ∀ j. ¬ j < 0 ∧ ¬ i2 ≤ j → st[r -- ((i + 1) + j) '] .byteval = st0[r0 -- ((i0 + 1) + j) '] .byteval, ∀ st0, j0, i0, r0, st, i, r, j1. i→n(j1) < i→n(i2 + 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 + j) '] .byteval = st0[r0 -- (i0 + j) '] .byteval, 0 = i2

User applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 6, [extquanttermlist: (j -1)abort:F, discard:F, computed:F]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i -1 = i - 1], [CSIMPSEQ : ⊦ i - j < i0 ↔ i < j + i0], [CSIMPSEQ : ⊦ 0 ≤ i → (i < 1 ↔ i = 0)], [CSIMPSEQ : ⊦ i ≤ j - i0 ↔ i + i0 ≤ j], [CSIMPSEQ : ⊦ i + 1 ≤ j ↔ i < j], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + (j - i) = j], [CSIMPFORWARD : ⊦ i < i0 ∧ i = i1 → i1 < i0], [CSIMPSEQ : ⊦ i + 0 = i])], [EXTRATERMS : (j -1)]]