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Proof step 2 from proof band-63-pos-01 (previous step)

i ≤ 63, 0 ≤ i ⊦ band(i, 63) = i

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ 0 ≤ i ∧ i < 64 → band(i, 63) = i

Rule argument

name: band-63-pos rotate: F subst: [i] → [i]

Additional information

Used simplifier rules: ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i ≤ j → (¬ ¬ j < i ↔ false);%j0 ≠ 0, j < j0 ⊦ i ≤ (* j) → i < (* j0); Used terms: i