proposition 3.37 De Morgan's laws for sets
open in the book ·
parts/02-mathematical-methods/01-logic-sets.tex:1032
· p. 29
Rests on
-
depends_on
definition 3.35
Union, intersection, difference
¶
- depends_on definition 3.8 Conjunction ¶
- depends_on definition 3.9 Disjunction ¶
- depends_on definition 3.7 Negation ¶
- depends_on equation 3.15 eq:log-demorgan-and ¶
- depends_on equation 3.16 eq:log-demorgan-or ¶
- depends_on equation 3.47 eq:set-double-inclusion ¶
- proves proof ch:01-logic-sets@proof-5 ¶
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 |
→ | Union, intersection, difference | declared | parts/02-mathematical-methods/01-logic-sets.tex:1040 |
depends_on |
→ | eq:log-demorgan-and | declared | parts/02-mathematical-methods/01-logic-sets.tex:1040 |
depends_on |
→ | eq:log-demorgan-or | declared | parts/02-mathematical-methods/01-logic-sets.tex:1040 |
depends_on |
→ | eq:set-double-inclusion | declared | parts/02-mathematical-methods/01-logic-sets.tex:1040 |
proves |
← | ch:01-logic-sets@proof-5 | declared | parts/02-mathematical-methods/01-logic-sets.tex:1043 |