![]() |
Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > MPE Home > Th. List > df-homa | Structured version Visualization version Unicode version |
Description: Definition of the hom-set extractor for arrows, which tags the morphisms of the underlying hom-set with domain and codomain, which can then be extracted using df-doma 16674 and df-coda 16675. (Contributed by FL, 6-May-2007.) (Revised by Mario Carneiro, 11-Jan-2017.) |
Ref | Expression |
---|---|
df-homa |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | choma 16673 |
. 2
![]() | |
2 | vc |
. . 3
![]() ![]() | |
3 | ccat 16325 |
. . 3
![]() ![]() | |
4 | vx |
. . . 4
![]() ![]() | |
5 | 2 | cv 1482 |
. . . . . 6
![]() ![]() |
6 | cbs 15857 |
. . . . . 6
![]() ![]() | |
7 | 5, 6 | cfv 5888 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() |
8 | 7, 7 | cxp 5112 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
9 | 4 | cv 1482 |
. . . . . 6
![]() ![]() |
10 | 9 | csn 4177 |
. . . . 5
![]() ![]() ![]() ![]() |
11 | chom 15952 |
. . . . . . 7
![]() ![]() | |
12 | 5, 11 | cfv 5888 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() |
13 | 9, 12 | cfv 5888 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
14 | 10, 13 | cxp 5112 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
15 | 4, 8, 14 | cmpt 4729 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
16 | 2, 3, 15 | cmpt 4729 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
17 | 1, 16 | wceq 1483 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff setvar class |
This definition is referenced by: homarcl 16678 homafval 16679 arwval 16693 |
Copyright terms: Public domain | W3C validator |