proposition 3.56 Composition is associative
open in the book ·
parts/02-mathematical-methods/01-logic-sets.tex:1400
· p. 33
Rests on
- depends_on definition 3.49 Composition map ¶
- depends_on definition 3.50 Identity map ¶
- proves proof ch:01-logic-sets@proof-9 ¶
Supports
-
depends_on
proposition 3.57
Composition of bijective maps
¶
- depends_on proposition 3.63 prop:inf-equipotence-equivalence ¶
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 |
→ | Composition map | declared | parts/02-mathematical-methods/01-logic-sets.tex:1407 |
depends_on |
→ | Identity map | declared | parts/02-mathematical-methods/01-logic-sets.tex:1407 |
depends_on |
← | Composition of bijective maps | declared | parts/02-mathematical-methods/01-logic-sets.tex:1435 |
proves |
← | ch:01-logic-sets@proof-9 | declared | parts/02-mathematical-methods/01-logic-sets.tex:1410 |