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Proof step 4 from proof uint2bits-truein (previous step)

0 ≤ j, 0 < j ⊦ true ∈ int2bits(j).rest

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ true ∈ int2bits(j).rest ↔ j ≠ 0 ∧ ¬(∃ i. 0 ≤ i ∧ j = ~(2 ^ i))
Proof step 6:
0 ≤ j, 0 < j ⊦ j ≠ 0 ∧ ¬(∃ i. 0 ≤ i ∧ j = ~(2 ^ i))

Rule argument

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

Additional information

Used terms: j