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Proof step 8 from proof int2bits-len-mon (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ j < 0 → abs(j) = 0 - j
Proof step 10:
¬ j < 0, # int2bits(j) < # uint2bits(i), i < abs(j), 0 ≤ i ⊦ j = 0
Proof step 15:
j < 0, # int2bits(j) < # uint2bits(i), i < 0 - j, 0 ≤ i ⊦ j = 0

Rule argument

seq: ⊦ j < 0 → abs(j) = 0 - j subst: [j] → [j] rotate: F spec: int-abs inst: name: Abs-neg

Additional information

Used terms: j