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Proof step 4 from proof int2bits-mod2-len (previous step)

i ≤ 0, i % 2 < 0 ⊦ # int2bits(i % 2) = 1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ 0 ≤ i ∧ j ≠ 0 → ¬ i % j < 0
Proof step 6:
¬(0 ≤ i ∧ 2 ≠ 0), i ≤ 0, i % 2 < 0 ⊦ # int2bits(i % 2) = 1

Rule argument

seq: ⊦ 0 ≤ i ∧ j ≠ 0 → ¬ i % j < 0 subst: [j, i] → [2, i] rotate: F spec: int-div inst: name: mod-zero-06

Additional information

Used terms: 2, i