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Proof step 9 from proof at-1dim-other-index-01 (previous step)

0 ≤ i0, i < 0 ∨ i0 < i, ∀ st, val, r, i, j0. i→n(j0) < i→n(i0 + 1) → (i < 0 ∨ j0 ≤ i → (addarray(r, val, j0, st)[r -- i ']) = st[r -- i ']) ⊦ (addarray(r, val, i0, st)[r -- i0 ', val][r -- i ']) = st[r -- i ']

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 8:
0 ≤ i0, i < 0 ∨ i0 < i, ∀ st, val, r, i, j0. i→n(j0) < i→n(i0 + 1) → (i < 0 ∨ j0 ≤ i → (addarray(r, val, j0, st)[r -- i ']) = st[r -- i ']) ⊦ r -- i ' = r -- i0 ', (addarray(r, val, i0, st)[r -- i0 ', val][r -- i ']) = st[r -- i ']

Rule argument

[fma-arg: r -- i ' = r -- i0 ']

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0], [CSIMPSEQ : ⊦ i ' = i0 ' ↔ i = i0], [CSIMPFORWARD : ⊦ i < i0 ∧ i = i1 → i1 < i0], [CSIMPFORWARD : ⊦ i < j ∧ j ≤ j0 → i < j0], [CSIMPFORWARD : ⊦ j < i ∧ i ≤ 0 → j < 0], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPFORWARD : ⊦ i ≤ j ∧ j < j0 → i < j0], [CSIMPSEQ : ⊦ ¬ i < i])], [EXTRAFMAS : (r -- i ' = r -- i0 ')]]