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Proof step 104 from proof uint2bits-add-high (previous step)

abs(i1 * 2 - 1) / 2 = 2 ^ (i - 1), i1 = ~(2 ^ (i - 1)), (2 ^ (i - 1) + i1 * 2) + 1 < i, (2 ^ (i - 1) + i1 * 2) + 1 < 2 ^ i, 2 ^ (i - 1) + i1 * 2 < i, 2 ^ (i - 1) + i1 * 2 < 2 ^ i, i1 + 1 < i, i1 < i, i1 < 2 ^ i, 0 ≤ i, 2 * (i1 + 1) + 2 ^ (i - 1) < i, 2 ^ (i - 1) + i1 * 2 < 0, i1 * 2 ≤ 2 ^ i, 0 ≤ i1 * 2 + 2 ^ i, 0 ≤ 2 ^ i, i1 * 2 < 2 ^ i, 1 + i1 * 2 < 2 ^ i, i1 * 2 < i, 0 < i1 * 2 + 2 ^ i, 2 ^ (i - 1) + 1 < 2 ^ i, 1 < i, 2 * (i1 + 1) < i, 1 + 2 ^ (i - 1) + i1 * 2 < i, 1 + 2 ^ (i - 1) + i1 * 2 < 2 ^ i, 0 < i, 0 ≤ i1 + 2 ^ i, 0 < 2 ^ (i - 1), 1 < i1 + 2 ^ i, 0 < i1 + 2 ^ i, 2 ^ (i - 1) < i1 + 2 ^ i, i1 + 2 ^ (i - 1) + 1 < 2 ^ i, i1 < 0, i1 + 1 < 2 ^ (i - 1), 1 < 2 ^ i, i1 < 2 ^ (i - 1), 0 < 2 ^ 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, i1 * 2 + 2 ^ i = 1, i1 = 0

User applied rule insert equation

And obtained the following new goals

Rule argument

pos: left 2 flags: discard

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