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Proof step 1 from proof cast-band (conclusion)

n→i((# int2bits(j0))-1) ≤ i, 0 ≤ j0 ⊦ band(cast(i, j), j0) = band(j, j0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
n→i(# int2bits(j0) - 1) ≤ i, 0 ≤ j0 ⊦ band(cast(i, j), j0) = band(j, j0)

Rule argument

Additional information

Used simplifier rules: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward)% ⊦ n -1 = n - 1;