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Proof step 1 from proof band-011x-is-unsigned-fix-03 (conclusion)

⊦ bits2uint(fix(32, int2bits(j))) = band(j, 4294967295)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ ¬ false ∈ int2bits(i).rest ∧ 0 ≤ i → band(j, i) = bits2uint(fix((# int2bits(i))-1, int2bits(j)))
Proof step 3:
¬ false ∈ int2bits(4294967295).rest ∧ 0 ≤ 4294967295 ⊦ bits2uint(fix(32, int2bits(j))) = bits2uint(fix((# int2bits(4294967295))-1, int2bits(j)))

Rule argument

name: band-011x-is-unsigned-fix-01 rotate: F subst: [i, j] → [4294967295, j]

Additional information

Used simplifier rules: ⊦ ¬ false ∈ int2bits(4294967295).rest; Used terms: 4294967295, j