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Proof step 2 from proof bint-band-zero (previous step)

~2147483648 ≤ i, i ≤ 2147483647 ⊦ band(4294967295, i) = 0 ↔ i = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ i ∈bint ∧ 0 ≤ i → band(4294967295, i) = i
Proof step 4:
¬(i ∈bint ∧ 0 ≤ i), ~2147483648 ≤ i, i ≤ 2147483647 ⊦ band(4294967295, i) = 0 ↔ i = 0

Rule argument

name: bint-band-011x rotate: F subst: [i] → [i]

Additional information

Used terms: i