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Proof step 2 from proof int2bits-lelen-03 (previous step)

i < ~1, i < 0 ⊦ # int2bits(i) ≤ m ↔ ¬ i + 2 ^ (n→i(m) - 1) < 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ i < 0 → # int2bits(i) = # int2bits(~ i - 1)
Proof step 4:
i < 0, i < ~1, i < 0 ⊦ # int2bits(~ i - 1) ≤ m ↔ ¬ i + 2 ^ (n→i(m) - 1) < 0

Rule argument

name: int2bits-len-neg-01 rotate: F subst: [i] → [i]

Additional information

Used terms: i