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Proof step 2 from proof intshiftrsign-2pot-pos (previous step)

j < 32, 0 ≤ i, 0 < j ⊦ i i>> j = i / 2 ^ j

User applied rule induction

And obtained the following new goals

Proof step 3:
j < 32 ∧ 0 ≤ i ∧ 0 < j, ∀ i, j0. i→n(j0) < i→n(j) → j0 < 32 ∧ 0 ≤ i ∧ 0 < j0 → i i>> j0 = i / 2 ^ j0 ⊦ i i>> j = i / 2 ^ j

Rule argument

indvar: i→n(j) wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: i→n(j)