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Proof step 8 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 ']) ⊦ r -- i ' = r -- i0 ', (addarray(r, val, i0, st)[r -- i0 ', val][r -- i ']) = st[r -- i ']

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
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 '], i = i0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i ' = i0 ' ↔ i = i0], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)])]]