theorem 3.72 Cantor–Schröder–Bernstein
open in the book ·
parts/02-mathematical-methods/01-logic-sets.tex:1845
· p. 38
Rests on
-
depends_on
definition 3.62
Equipotence
¶
- depends_on definition 3.47 Bijective map ¶
- depends_on definition 3.40 Cardinal ¶
- depends_on definition 3.47 Bijective map ¶ ↺
- depends_on definition 3.45 Injective map ¶
- proves proof ch:01-logic-sets@prooflink-1 ¶
Supports
Nothing declares a dependency on this node yet.
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 |
→ | Equipotence | declared | parts/02-mathematical-methods/01-logic-sets.tex:1849 |
depends_on |
→ | Bijective map | declared | parts/02-mathematical-methods/01-logic-sets.tex:1849 |
depends_on |
→ | Injective map | declared | parts/02-mathematical-methods/01-logic-sets.tex:1849 |
proves |
← | ch:01-logic-sets@prooflink-1 | declared | parts/02-mathematical-methods/01-logic-sets.tex:1851 |