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Proof step 5 from proof int2bits-falsein-02 (previous step)

j < 0 ⊦ false ∈ int2bits(j).rest ↔ (∀ i. 2 ^ i ≠ j + 1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ i < ~1 → false ∈ int2bits(i).rest
Proof step 7:
¬ j < ~1, j < 0 ⊦ false ∈ int2bits(j).rest ↔ (∀ i. 2 ^ i ≠ j + 1)
Proof step 9:
j < ~1, j < 0 ⊦ true ↔ (∀ i. 2 ^ i ≠ j + 1)

Rule argument

name: int2bits-falsein-01 rotate: F subst: [i] → [j]

Additional information

Used terms: j