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Proof step 2 from proof band-011x-eq-01 (previous step)

0 ≤ i ⊦ i = band(i - j, i) + band(j, i), false ∈ int2bits(i).rest

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ ¬ false ∈ int2bits(i).rest ∧ 0 ≤ i → band(i - j, i) + band(j, i) = i

Rule argument

name: band-011x-eq rotate: F subst: [j, i] → [j, i]

Additional information

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