theorem A3.1 Cantor–Schröder–Bernstein
open in the book ·
appendices/03-cantor-bernstein.tex:14
· p. 2893
Rests on
- depends_on definition 7.45 Injective map ¶
-
depends_on
proposition 7.48
Characterization of bijectivity
¶
- depends_on definition 7.47 Bijective map ¶
- depends_on definition 7.45 Injective map ¶ ↺
- depends_on definition 7.46 Surjective map ¶
- proves proof ch:01-logic-sets@proof-7 ¶
- proves proof app:cantor-bernstein@proof-1 ¶
Supports
- depends_on corollary A3.3 The continuum is the power set of the naturals ¶
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 |
→ | Injective map | declared | appendices/03-cantor-bernstein.tex:18 |
depends_on |
→ | Characterization of bijectivity | declared | appendices/03-cantor-bernstein.tex:18 |
depends_on |
← | The continuum is the power set of the naturals | declared | appendices/03-cantor-bernstein.tex:105 |
proves |
← | app:cantor-bernstein@proof-1 | declared | appendices/03-cantor-bernstein.tex:21 |