proposition 3.42 Cardinal of the power set
open in the book ·
parts/02-mathematical-methods/01-logic-sets.tex:1145
· p. 30
Rests on
- depends_on axiom 3.34 Principle of induction ¶
- depends_on definition 3.40 Cardinal ¶
- depends_on definition 3.41 Power set ¶
- depends_on equation 3.25 eq:log-excluded-middle ¶
- depends_on equation 3.26 eq:log-noncontradiction ¶
- proves proof ch:01-logic-sets@proof-6 ¶
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 |
→ | Principle of induction | declared | parts/02-mathematical-methods/01-logic-sets.tex:1150 |
depends_on |
→ | Cardinal | declared | parts/02-mathematical-methods/01-logic-sets.tex:1150 |
depends_on |
→ | Power set | declared | parts/02-mathematical-methods/01-logic-sets.tex:1150 |
depends_on |
→ | eq:log-excluded-middle | declared | parts/02-mathematical-methods/01-logic-sets.tex:1150 |
depends_on |
→ | eq:log-noncontradiction | declared | parts/02-mathematical-methods/01-logic-sets.tex:1150 |
proves |
← | ch:01-logic-sets@proof-6 | declared | parts/02-mathematical-methods/01-logic-sets.tex:1153 |