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Proof step 1 from proof bint-carry-01 (conclusion)

⊦ ((band(4294967295, i) + band(4294967295, j)) l>>> 32)∈bint

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ i ∈bint ↔ ~2147483648 ≤ i ∧ i ≤ 2147483647
Proof step 3:
⊦ ~2147483648 ≤ (band(4294967295, i) + band(4294967295, j)) l>>> 32 ∧ (band(4294967295, i) + band(4294967295, j)) l>>> 32 ≤ 2147483647

Rule argument

name: inbint rotate: F subst: [i] → [(band(4294967295, i) + band(4294967295, j)) l>>> 32]

Additional information

Used terms: (band(4294967295, i) + band(4294967295, j)) l>>> 32