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Proof step 26 from proof okarray-copy-01 (previous step)

okarray(r, byte_type, st), okarray(r0, byte_type, st), i + j ≤ st[r0 -- _length] .intval, r ∈ st, r0 ∈ st, 0 ≤ i, 0 ≤ j ⊦ r = jvmref, r0 = jvmref, okarray(r, byte_type, arraycopy(r0, i, r, i0, j, st))

User applied rule induction

And obtained the following new goals

Proof step 25:
okarray(r, byte_type, st) ∧ okarray(r0, byte_type, st) ∧ i + j ≤ st[r0 -- _length] .intval ∧ r ∈ st ∧ r0 ∈ st ∧ 0 ≤ i ∧ 0 ≤ j, ∀ i0, i, r0, st, r, j0. i→n(j0) < i→n(j) → ( okarray(r, byte_type, st) ∧ okarray(r0, byte_type, st) ∧ i + j0 ≤ st[r0 -- _length] .intval ∧ r ∈ st ∧ r0 ∈ st ∧ 0 ≤ i ∧ 0 ≤ j0 → r = jvmref ∨ r0 = jvmref ∨ okarray(r, byte_type, arraycopy(r0, i, r, i0, j0, st))) ⊦ r = jvmref ∨ r0 = jvmref ∨ okarray(r, byte_type, arraycopy(r0, i, r, i0, j, st))

Rule argument

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

Additional information

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