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Proof step 11 from proof copy-between (conclusion)

⊦ r ≠ r0 ∧ i0 ≤ j0 ∧ j0 < i0 + j → (arraycopy(r, i, r0, i0, j, st)[r0 -- j0 ']) = st[r -- ((j0 - i0) + i) ']

User applied rule induction

And obtained the following new goals

Proof step 10:
true, ∀ j1, r, r0, i0, j0, i, st. i→n(j1) < i→n(j) → (true → (r ≠ r0 ∧ i0 ≤ j0 ∧ j0 < i0 + j1 → (arraycopy(r, i, r0, i0, j1, st)[r0 -- j0 ']) = st[r -- ((j0 - i0) + i) '])) ⊦ r ≠ r0 ∧ i0 ≤ j0 ∧ j0 < i0 + j → (arraycopy(r, i, r0, i0, j, st)[r0 -- j0 ']) = st[r -- ((j0 - i0) + i) ']

Rule argument

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

Additional information

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