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Proof step 1 from proof int2bits-neg-02 (conclusion)

j < 0, ¬(∃ i. ~(2 ^ i) = j) ⊦ int2bits(j) = int2bits(2 ^ n→i(# int2bits(~ j)) + j).rest

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
j < 0 ⊦ int2bits(j) = int2bits(2 ^ n→i(# int2bits(~ j)) + j).rest, ∃ i. 2 ^ i + j = 0

Rule argument

Additional information

Used simplifier rules: ⊦ ~ i = j ↔ i + j = 0;