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Proof step 3 from proof cast-band (previous step)

# int2bits(j0) = m + 1 ∧ # int2bits(j0) ≠ 0, n→i(m) ≤ i, 0 ≤ j0 ⊦ band(cast(i, j), j0) = band(j, j0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
# int2bits(j0) = m + 1, n→i(m) ≤ i, 0 ≤ j0 ⊦ band(cast(i, j), j0) = band(j, j0)

Rule argument

Additional information

Used simplifier rules: ⊦ int2bits(j) ≠ [];% ⊦ # bits = 0 ↔ bits = [];