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Proof step 72 from proof band-max (previous step)

i = 2 * bits2int(bitsand(int2bits(i / 2), int2bits(i1 / 2))), i % 2 = 1, ~1 = (i1 + 1) % 2, 1 < i, 0 < bits2int(bitsand(int2bits(i / 2), int2bits(i1 / 2))), i1 < 0, 0 < i, 0 ≤ i, i1 < ~1, ∀ i0, j. i→n(i0) < i→n(i) → i0 < bits2int(bitsand(int2bits(i0), int2bits(j))) ∧ 0 ≤ i0 → false ⊦ ~2 = i1, bitsand(int2bits(i / 2), int2bits(i1 / 2)).first

User applied rule insert equation

And closed the goal!

Rule argument

pos: left 1 flags: discard

Additional information

Used simplifier rules: ⊦ (i * 2) % 2 = 0;% ⊦ i * j * j0 = (i * j) * j0;% ⊦ i * j = j * i;