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Proof step 15 from proof getba-eq (previous step)

0 ≤ i, 0 ≤ i1, ∀ i0. ¬ i0 < i1 ∧ ¬ i1 + i ≤ i0 → st[r -- i0 '] = st[r1 -- i0 '] ⊦ getbytearray(r, i1, i, st) = getbytearray(r1, i1, i, st)

User applied rule induction

And obtained the following new goals

Proof step 14:
0 ≤ i ∧ 0 ≤ i1 ∧ (∀ i0. ¬ i0 < i1 ∧ ¬ i1 + i ≤ i0 → st[r -- i0 '] = st[r1 -- i0 ']), ∀ r1, r, st, i1, i0. i→n(i0) < i→n(i) → ( 0 ≤ i0 ∧ 0 ≤ i1 ∧ (∀ i2. ¬ i2 < i1 ∧ ¬ i1 + i0 ≤ i2 → st[r -- i2 '] = st[r1 -- i2 ']) → getbytearray(r, i1, i0, st) = getbytearray(r1, i1, i0, st)) ⊦ getbytearray(r, i1, i, st) = getbytearray(r1, i1, i, st)

Rule argument

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

Additional information

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