lemma A.37 Elementary properties of cuts
open in the book ·
appendices/A-long-proofs.tex:2916
· p. 2809
Rests on
- depends_on definition A.36 Cut ¶
- proves proof app:A-long-proofs@proof-27 ¶
Supports
-
depends_on
lemma A.42
$(\R, +)$ is an ordered abelian group
¶
- depends_on lemma A.44 $\R$ is an ordered field ¶
- depends_on lemma A.39 The order is total ¶
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | Cut | declared | appendices/A-long-proofs.tex:2919 |
depends_on |
← | $(\R, +)$ is an ordered abelian group | declared | appendices/A-long-proofs.tex:3005 |
depends_on |
← | The order is total | declared | appendices/A-long-proofs.tex:2943 |
proves |
← | app:A-long-proofs@proof-27 | declared | appendices/A-long-proofs.tex:2922 |