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Proof step 1 from proof int2int-rest-01 (conclusion)

⊦ j < ~1 → bits2int(int2bits(j).rest) = j + 2 ^ (n→i(# int2bits(j)) - 1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
j < ~1, j < 0 ⊦ bits2int(int2bits(j).rest) = j + 2 ^ (n→i(# int2bits(j)) - 1)

Rule argument

Additional information

Used simplifier rules: ⊦ i < (* j) ∧ j < 0 → i < 0; (forward)