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Proof step 12 from proof copy-succ (previous step)

¬ (r1 ≠ r0 ∧ i0 ≤ i ∧ i < i0 + j), 0 ≤ j ⊦ i = i0 + j, r1 = r0, (arraycopy(r1, i1, r0, i0, j, st)[r0 -- i ']) = (arraycopy(r1, i1, r0, i0, j, st[r0 -- (i0 + j) ', st[r1 -- (i1 + j) ']])[r0 -- i '])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
⊦ j0 < i0 → (arraycopy(r, i, r0, i0, j, st)[r0 -- j0 ']) = st[r0 -- j0 ']
Proof step 11:
0 ≤ j, i0 + j < i, i0 ≤ i ⊦ i = i0 + j, r1 = r0, (arraycopy(r1, i1, r0, i0, j, st)[r0 -- i ']) = (arraycopy(r1, i1, r0, i0, j, st[r0 -- (i0 + j) ', st[r1 -- (i1 + j) ']])[r0 -- i '])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i < i0 → (¬ i0 < i ↔ true)], [CSIMPSEQ : ⊦ ¬ i < j → (i ≠ j ↔ j < i)], [CSIMPSEQ : ⊦ i ' = i0 ' ↔ i = i0], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)], [CSIMPSEQ : ⊦ (st[rk0, val][rk]) = ((rk = rk0 ⊃ val; st[rk]))], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ i ≠ i0 → (¬ i < i0 ↔ i0 < i)], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]