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Proof step 1 from proof intshiftleft-is-mult (conclusion)

⊦ 0 ≤ j ∧ j < 32 → i i<< j = i * 2 ^ j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
j < 32, 0 ≤ j ⊦ i i<< j = i * 2 ^ j

Rule argument

Additional information

Used simplifier rules: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward)% ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward)