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Proof step 21 from proof intshiftrsign-2pot-neg-01 (previous step)

2 * (i0 + 1 - 2 ^ (j - 1)) - 1 = ~(2 * (2 ^ (j - 1) - i0 + 1) + 1), ¬(0 < i0 + 1 - 2 ^ (j - 1) ∧ 0 < 2 ^ (j - 1)), 0 < j, j < 32, 0 ≤ j, i0 < 0, ∀ i, j0. i→n(j0) < i→n(j) → true → i < 0 ∧ 0 < j0 ∧ j0 < 32 → i i>> j0 = (i - (2 ^ j0 - 1)) / 2 ^ j0 ⊦ j = 1, (i0 + 1 - 2 ^ (j - 1)) / 2 ^ (j - 1) = (2 * (i0 + 1 - 2 ^ (j - 1)) - 1) / (2 * 2 ^ (j - 1))

User applied rule insert equation

And obtained the following new goals

Proof step 22:
¬(0 < i0 + 1 - 2 ^ (j - 1) ∧ 0 < 2 ^ (j - 1)), 0 < j, j < 32, 0 ≤ j, i0 < 0, ∀ i, j0. i→n(j0) < i→n(j) → true → i < 0 ∧ 0 < j0 ∧ j0 < 32 → i i>> j0 = (i - (2 ^ j0 - 1)) / 2 ^ j0 ⊦ j = 1, (i0 + 1 - 2 ^ (j - 1)) / 2 ^ (j - 1) = ~(2 * (2 ^ (j - 1) - i0 + 1) + 1) / (2 * 2 ^ (j - 1))

Rule argument

pos: left 1 flags: discard

Proof step 21 from proof intshiftrsign-2pot-neg-01 (previous step)

User applied rule insert equation

And obtained the following new goals

Rule argument

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