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Proof step 1 from proof band-one-is-mod2 (conclusion)

⊦ 0 ≤ i → (band(i, 1) = 1 ↔ i % 2 = 1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ 0 ≤ j ∧ ¬ false ∈ int2bits(i).rest ∧ 0 ≤ i → band(j, i) = j % (i + 1)
Proof step 3:
¬(0 ≤ i ∧ ¬ false ∈ int2bits(1).rest ∧ 0 ≤ 1) ⊦ 0 ≤ i → (band(i, 1) = 1 ↔ i % 2 = 1)

Rule argument

spec: inst: name: band-011x-pos-02 seq: ⊦ 0 ≤ j ∧ ¬ false ∈ int2bits(i).rest ∧ 0 ≤ i → band(j, i) = j % (i + 1) subst: [i, j] → [1, i] flags: rewrite, current

Additional information

Used terms: 1, i