![]() |
Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > MPE Home > Th. List > df-tx | Structured version Visualization version Unicode version |
Description: Define the binary topological product, which is homeomorphic to the general topological product over a two element set, but is more convenient to use. (Contributed by Jeff Madsen, 2-Sep-2009.) |
Ref | Expression |
---|---|
df-tx |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ctx 20575 |
. 2
![]() ![]() | |
2 | vr |
. . 3
![]() ![]() | |
3 | vs |
. . 3
![]() ![]() | |
4 | cvv 3045 |
. . 3
![]() ![]() | |
5 | vx |
. . . . . 6
![]() ![]() | |
6 | vy |
. . . . . 6
![]() ![]() | |
7 | 2 | cv 1443 |
. . . . . 6
![]() ![]() |
8 | 3 | cv 1443 |
. . . . . 6
![]() ![]() |
9 | 5 | cv 1443 |
. . . . . . 7
![]() ![]() |
10 | 6 | cv 1443 |
. . . . . . 7
![]() ![]() |
11 | 9, 10 | cxp 4832 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() |
12 | 5, 6, 7, 8, 11 | cmpt2 6292 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
13 | 12 | crn 4835 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
14 | ctg 15336 |
. . . 4
![]() ![]() | |
15 | 13, 14 | cfv 5582 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
16 | 2, 3, 4, 4, 15 | cmpt2 6292 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
17 | 1, 16 | wceq 1444 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff setvar class |
This definition is referenced by: txval 20579 |
Copyright terms: Public domain | W3C validator |