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Proof step 53 from proof intshiftleft-is-mult-01 (previous step)

0 < i, 0 ≤ j ⊦ j % 32 = 0, i = 0, 2 ^ abs(j % 32) = 2 ^ (j % 32), false ∈ int2bits(31).rest

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ j ≠ 0 → abs(i % j) = abs(i) % abs(j) subst: [j, i] → [32, j] rotate: F spec: int-div inst: name: abs-shift

Additional information

Used simplifier rules: ⊦ 0 ≤ i → abs(i) = i; Used terms: 32, j