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Proof step 1 from proof intshiftrsign-2pot-neg (conclusion)

⊦ i < 0 ∧ i % 2 ^ j = 0 ∧ 0 < j ∧ j < 32 → i i>> j = i / 2 ^ j

User applied rule induction

And obtained the following new goals

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

Rule argument

indvar: i→n(j) wfpred: <

Additional information

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