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Proof step 17 from proof cast-mod-pos-high (previous step)

# int2bits(j) ≠ i→n(i) + 1, j < 2 ^ i, 0 ≤ 2 ^ (i - 1) + j, 2 ^ (i - 1) ≤ j, 0 ≤ j, 0 < i, 2 ^ (i - 1) ≤ j % 2 ^ i, i→n(i) ≤ # int2bits(j), 0 ≤ i ⊦ j % 2 ^ i = bits2int(lastn(i→n(i), int2bits(j))) + 2 ^ i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
0 ≤ i, i→n(i) ≤ # int2bits(j), 2 ^ (i - 1) ≤ j % 2 ^ i, 0 < i, 0 ≤ j, 2 ^ (i - 1) ≤ j, 0 ≤ 2 ^ (i - 1) + j, j < 2 ^ i ⊦ # int2bits(j) = i→n(i) + 1, j % 2 ^ i = bits2int(lastn(i→n(i), int2bits(j))) + 2 ^ i

Proof step 17 from proof cast-mod-pos-high (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information