proposition 3.21 Contraposition
open in the book ·
parts/02-mathematical-methods/01-logic-sets.tex:507
· p. 22
Rests on
- depends_on equation 3.3 eq:log-negation ¶
-
depends_on
proposition 3.19
Conditional as disjunction
¶
- depends_on definition 3.11 Conditional ¶
- depends_on definition 3.9 Disjunction ¶
-
depends_on
definition 3.17
Logical equivalence
¶
- depends_on definition 3.12 Biconditional ¶
- depends_on definition 3.14 Tautology ¶
- depends_on definition 3.7 Negation ¶
- proves proof ch:01-logic-sets@proof-1 ¶
- proves proof ch:01-logic-sets@proof-3 ¶
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 |
→ | eq:log-negation | declared | parts/02-mathematical-methods/01-logic-sets.tex:513 |
depends_on |
→ | Conditional as disjunction | declared | parts/02-mathematical-methods/01-logic-sets.tex:513 |
proves |
← | ch:01-logic-sets@proof-3 | declared | parts/02-mathematical-methods/01-logic-sets.tex:516 |