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Proof step 2 from proof int2bits-falsein-02 (previous step)

⊦ false ∈ int2bits(j).rest ↔ (∀ i. 2 ^ i ≠ j + 1)

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 ⊦ false ∈ int2bits(j).rest ↔ (∀ i. 2 ^ i ≠ j + 1)
Proof step 12:
0 ≤ j ⊦ false ∈ uint2bits(j).rest ↔ (∀ i. 2 ^ i ≠ j + 1)

Rule argument

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

Additional information

Used terms: j