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Proof step 2 from proof int2bits-2pot-04 (previous step)

0 ≤ i ⊦ j = 0, int2bits(j * 2 ^ i) = int2bits(j) + mklist(false, i→n(i))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
0 ≤ i ⊦ int2bits((* i)) = uint2bits(i)
Proof step 4:
¬ 0 ≤ j * 2 ^ i, 0 ≤ i ⊦ j = 0, int2bits(j * 2 ^ i) = int2bits(j) + mklist(false, i→n(i))
Proof step 30:
0 ≤ j * 2 ^ i, 0 ≤ i ⊦ j = 0, uint2bits(j * 2 ^ i) = int2bits(j) + mklist(false, i→n(i))

Rule argument

name: int2bits-pos-num rotate: F subst: [i] → [j * 2 ^ i]

Additional information

Used terms: j * 2 ^ i