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Mirrors > Home > MPE Home > Th. List > df-yon | Structured version Visualization version Unicode version |
Description: Define the Yoneda embedding, which is the currying of the (opposite) Hom functor. (Contributed by Mario Carneiro, 11-Jan-2017.) |
Ref | Expression |
---|---|
df-yon | Yon oppCat curryF HomFoppCat |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cyon 16889 | . 2 Yon | |
2 | vc | . . 3 | |
3 | ccat 16325 | . . 3 | |
4 | 2 | cv 1482 | . . . . 5 |
5 | coppc 16371 | . . . . . 6 oppCat | |
6 | 4, 5 | cfv 5888 | . . . . 5 oppCat |
7 | 4, 6 | cop 4183 | . . . 4 oppCat |
8 | chof 16888 | . . . . 5 HomF | |
9 | 6, 8 | cfv 5888 | . . . 4 HomFoppCat |
10 | ccurf 16850 | . . . 4 curryF | |
11 | 7, 9, 10 | co 6650 | . . 3 oppCat curryF HomFoppCat |
12 | 2, 3, 11 | cmpt 4729 | . 2 oppCat curryF HomFoppCat |
13 | 1, 12 | wceq 1483 | 1 Yon oppCat curryF HomFoppCat |
Colors of variables: wff setvar class |
This definition is referenced by: yonval 16901 |
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