definition A.174 Tightness
open in the book ·
appendices/A-long-proofs.tex:9101
· p. 2877
- ground object -- no derivation owed
Rests on
-
depends_on
definition 11.21
Distribution function
¶
-
depends_on
definition 11.20
Density
¶
-
depends_on
definition 7.39
Darboux sums and the definite integral
¶
- depends_on axiom 7.1 Completeness of $\R$ ¶
-
depends_on
definition 7.39
Darboux sums and the definite integral
¶
-
depends_on
definition 11.20
Density
¶
Supports
- depends_on lemma A.175 Tightness makes the Helly limit proper ¶
- depends_on lemma A.180 Tightness ¶
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 |
→ | Distribution function | declared | appendices/A-long-proofs.tex:9105 |
depends_on |
← | Tightness makes the Helly limit proper | declared | appendices/A-long-proofs.tex:9114 |
depends_on |
← | Tightness | declared | appendices/A-long-proofs.tex:9294 |