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Proof step 5 from proof int2bits-len-neg-02 (previous step)

j < 0 ⊦ # int2bits(~(j + 1)) = # int2bits(~ j), ∃ i. 2 ^ i + j = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ ~(i + 1) = ~ i - 1
Proof step 7:
j < 0 ⊦ # int2bits(~ j - 1) = # int2bits(~ j), ∃ i. 2 ^ i + j = 0

Rule argument

seq: ⊦ ~(i + 1) = ~ i - 1 subst: [i] → [j] rotate: F spec: int-abs inst: name: minus-01

Additional information

Used terms: j