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Proof step 1 from proof int2bits-mod2-len (conclusion)

⊦ i ≤ 0 → # int2bits(i % 2) = 1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ 0 ≤ i → int2bits(i) = uint2bits(i)
Proof step 3:
¬ 0 ≤ i % 2 ⊦ i ≤ 0 → # int2bits(i % 2) = 1
Proof step 8:
0 ≤ i % 2 ⊦ i ≤ 0 → # uint2bits(i % 2) = 1

Rule argument

name: int2bits-pos rotate: F subst: [i] → [i % 2]

Additional information

Used terms: i % 2