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Proof step 1 from proof band-011x-eq-01 (conclusion)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
0 ≤ i ⊦ i = band(i - j, i) + band(j, i), false ∈ int2bits(i).rest

Rule argument

Additional information

Used simplifier rules: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward)% ⊦ i - j = i0 ↔ i = i0 + j;