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Proof step 2 from proof band-011x-is-unsigned-fix-01 (previous step)

0 ≤ i ⊦ band(j, i) = bits2uint(fix(# int2bits(i) - 1, int2bits(j))), false ∈ int2bits(i).rest

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ false ∈ int2bits(j).rest ↔ ¬(∃ i. j = 2 ^ i - 1)
Proof step 4:
0 ≤ i ⊦ band(j, i) = bits2uint(fix(# int2bits(i) - 1, int2bits(j))), ∀ i0. i ≠ 2 ^ i0 - 1

Rule argument

seq: ⊦ false ∈ int2bits(j).rest ↔ ¬(∃ i. j = 2 ^ i - 1) subst: [j] → [i] rotate: F spec: int2bits inst: name: int2bits-falsein-02

Additional information

Used terms: i