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Proof step 95 from proof uint2bits-add-high (previous step)

abs(j - 1) / 2 = 2 ^ (i - 1), 2 ^ (i - 1) = 2 ^ i0, j % 2 = 0, 2 ^ (i - 1) + (j - 1) / 2 = 0, 2 ^ (i - 1) + j < i0, 2 ^ (i - 1) + j < i, 2 ^ (i - 2) < 2 ^ (i - 1), j + 1 < i0, 0 < i0, j < i0, 2 ^ (i - 2) < 2 ^ i, 0 < 2 ^ i, 1 < 2 ^ i, 2 ^ (i - 1) + 1 < 2 ^ i, 0 < j + 2 ^ i, j + 1 < i, 0 < i, j < i, j + 1 < 2 ^ i, j < 2 ^ i, 0 ≤ 2 ^ i, 0 ≤ j + 2 ^ i, j ≤ 2 ^ i, j < 0, abs(j - 1) / 2 ≤ 2 ^ (i - 1), 2 ^ (i - 2) < abs(j - 1) / 2, abs(j - 1) / 2 < 2 ^ i, 2 ^ (i - 1) + j < 2 ^ i, 2 ^ (i - 1) < 2 ^ i, 2 ^ (i - 1) + j < 0, j < (j - 1) / 2, (2 ^ (i - 1) + j) + 1 < i0, (2 ^ (i - 1) + j) + 1 < 2 ^ i, (2 ^ (i - 1) + j) + 1 < i, ∀ i0, j. i→n(i0) < i→n(i) → true → j < 0 ∧ 0 < i0 ∧ 2 ^ (i0 - 1) < abs(j) ∧ abs(j) ≤ 2 ^ i0 → uint2bits(j + 2 ^ i0) = sgn(int2bits(j).rest) ⊦ i = 1, j = 0, j = ~1, j + 2 ^ i = 1, i0 = 0

User applied rule insert equation

And obtained the following new goals

Rule argument

pos: left 1 flags:

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