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Proof step 39 from proof copy-bet-bet (conclusion)

⊦ i0 < i ∧ i < i0 + j ∧ i0 ≤ j0 ∧ j0 < i0 + j → (arraycopy(r, i, r, i0, j, st)[r -- j0 ']) = st[r -- (i + j - (i0 + j - j0 + 1) % (i - i0) + 1) ']

User applied rule induction

And obtained the following new goals

Proof step 38:
true, ∀ j1, i0, i, j0, r, st. i→n(j1) < i→n(j) → ( true → ( i0 < i ∧ i < i0 + j1 ∧ i0 ≤ j0 ∧ j0 < i0 + j1 → (arraycopy(r, i, r, i0, j1, st)[r -- j0 ']) = st[r -- (i + j1 - (i0 + j1 - j0 + 1) % (i - i0) + 1) '])) ⊦ i0 < i ∧ i < i0 + j ∧ i0 ≤ j0 ∧ j0 < i0 + j → (arraycopy(r, i, r, i0, j, st)[r -- j0 ']) = st[r -- (i + j - (i0 + j - j0 + 1) % (i - i0) + 1) ']

Rule argument

[INDHYPARG : [STANDARDINDUCTIONTYPE : ], true, false, i→n(j), [] → [], <]

Additional information

[[CONCRETESIMPRULES : ([CSIMPLESSPRED : <])], [EXTRATERMS : (i→n(j))]]