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Theorem floor-ls-negint

⊦ ⌊r⌋ + i < 0 ↔ r + i.r < 0.r

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: int-ls-ceil,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 6
Used lemmas: negint-le-floor, floor-ls-int,
Used spec theorems:
- real-basic/eqint-neg
- int-abs/neg-07
Used simplifier rules: