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Proof step 28 from proof int2bits-2pot-04 (previous step)

(¬ mklist(false, i→n(i)).first) ∈ bitsinvert(uint2bits(~ j)) +1, 0 < i, 0 < 2 ^ i, j < 2 ^ i, j < 0, j + 1 < 2 ^ i, j < i, j * 2 ^ i < i, j + 1 < i ⊦ j = 0, i = 0, sgn(bitsinvert(uint2bits(~ j)) +1) = int2bits(j)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 29:
⊦ i < 0 → int2bits(i) = sgn(bitsinvert(uint2bits(abs(i))) +1)

Rule argument

name: int2bits-neg rotate: F subst: [i] → [j]

Additional information

Used simplifier rules: ⊦ i < 0 → abs(i) = ~ i; Used terms: j