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Proof step 7 from proof copy-lower (previous step)

(arraycopy(r, i, r0, i0, j - 1, st[r0 -- (i0 + j - 1) ', st[r -- (i + j - 1) ']])[r0 -- j0 ']) = ((i0 + j = j0 + 1 ⊃ st[r -- (i + j - 1) ']; st[r0 -- j0 '])), j0 < i0, 0 < j, ∀ j1, j0, i0, r, i, r0, st. i→n(j1) < i→n(j) → (j0 < i0 → (arraycopy(r, i, r0, i0, j1, st)[r0 -- j0 ']) = st[r0 -- j0 ']) ⊦ ((i0 + j = j0 + 1 ⊃ st[r -- (i + j - 1) ']; st[r0 -- j0 '])) = st[r0 -- j0 ']

Heuristic if-then-else split applied rule case distinction

And obtained the following new goals

Proof step 6:
i0 + j = j0 + 1, (arraycopy(r, i, r0, i0, j - 1, st[r0 -- (i0 + j - 1) ', st[r -- (i + j - 1) ']])[r0 -- j0 ']) = ((i0 + j = j0 + 1 ⊃ st[r -- (i + j - 1) ']; st[r0 -- j0 '])), j0 < i0, 0 < j, ∀ j1, j0, i0, r, i, r0, st. i→n(j1) < i→n(j) → (j0 < i0 → (arraycopy(r, i, r0, i0, j1, st)[r0 -- j0 ']) = st[r0 -- j0 ']) ⊦ st[r -- (i + j - 1) '] = st[r0 -- j0 ']

Rule argument

[CASEDARG : pos: right 1, ()]

Additional information

[[CONCRETESIMPRULES : ()]]