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Proof step 34 from proof int2bits-len-mon (previous step)

0 < j, i + 1 < j, 1 < j, 0 ≤ j, # int2bits(j) < # uint2bits(~(i + 1)), i < 0, 0 < j + i, i < j ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 35:
⊦ 0 ≤ i → int2bits(i) = uint2bits(i)
Proof step 36:
0 ≤ j, 0 < j, i + 1 < j, 1 < j, 0 ≤ j, # uint2bits(j) < # uint2bits(~(i + 1)), i < 0, 0 < j + i, i < j ⊦

Rule argument

name: int2bits-pos rotate: F subst: [i] → [j]

Additional information

Used terms: j