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Proof step 16 from proof int2bits-len-mon (previous step)

j < i, i + j < 0, # int2bits(j) < # uint2bits(i), 0 ≤ i, j < 0 ⊦ j = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 17:
⊦ i < 0 → # int2bits(i) = # int2bits(~ i - 1)
Proof step 18:
j < 0, j < i, i + j < 0, # int2bits(~ j - 1) < # uint2bits(i), 0 ≤ i, j < 0 ⊦ j = 0

Rule argument

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

Additional information

Used terms: j