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Theorem longshiftzero-carry

⊦ 0 ≤ i ∧ i ≤ 1 → ¬ (i + band(4294967295, j) + band(4294967295, j0)) l>>> 32 < 0

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state: byte,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas: band-commutativity, band-associativity, band-32-not-neg, longshiftzero-not-neg,
Used spec theorems:
- Used simplifier rules: