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Proof step 24 from proof band-max (previous step)

int2bits(j) = (j < 0)', 1 < bits2int(bitsand(false ' + true ', int2bits(j))), 0 < bits2int(bitsand(false ' + true ', int2bits(j))), ∀ i0, j. i→n(i0) < i→n(1) → i0 < bits2int(bitsand(int2bits(i0), int2bits(j))) ∧ 0 ≤ i0 → false ⊦ j = ~1, j = 0

User applied rule cut formula

And closed the goal!

Rule argument

fma: j < 0

Additional information

Used simplifier rules: ⊦ int2bits(j) = false ' ↔ j = 0;% ⊦ i < 0 ∧ 0 ≤ j → i < j;% ⊦ int2bits(j) = true ' ↔ j = ~1; Used formulas: j < 0