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Proof step 4 from proof intshiftrsign-2pot-neg-02 (previous step)

i < 0 ∧ 0 < j ∧ j < 32, j < 32, i < 0, 0 < j ⊦ i % 2 ^ j = 0, i / 2 ^ j = (i - (2 ^ j - 1)) / 2 ^ j + 1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
j < 32, i < 0, 0 < j ⊦ i % 2 ^ j = 0, i / 2 ^ j = 1 + (i + 1 - 2 ^ j) / 2 ^ j

Rule argument

Additional information

Used simplifier rules: ⊦ i - (j - j0) = i + j0 - j;