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Proof step 2 from proof int2bits-len-neg-02 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ i < 0 → # int2bits(i) = # int2bits(~ i - 1)
Proof step 4:
j < 0, j < 0 ⊦ # int2bits(~ j - 1) = # int2bits(~ j), ∃ i. 2 ^ i + j = 0

Rule argument

name: int2bits-len-neg-01 rotate: F subst: [i] → [j]

Additional information

Used terms: j