proposition 3.19 Conditional as disjunction
open in the book ·
parts/02-mathematical-methods/01-logic-sets.tex:442
· p. 22
Rests on
- 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 ¶
Supports
- depends_on proposition 3.21 Contraposition ¶
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 |
→ | Conditional | declared | parts/02-mathematical-methods/01-logic-sets.tex:447 |
depends_on |
→ | Disjunction | declared | parts/02-mathematical-methods/01-logic-sets.tex:447 |
depends_on |
→ | Logical equivalence | declared | parts/02-mathematical-methods/01-logic-sets.tex:447 |
depends_on |
→ | Negation | declared | parts/02-mathematical-methods/01-logic-sets.tex:447 |
depends_on |
← | Contraposition | declared | parts/02-mathematical-methods/01-logic-sets.tex:513 |
proves |
← | ch:01-logic-sets@proof-1 | declared | parts/02-mathematical-methods/01-logic-sets.tex:450 |