![]() |
Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > MPE Home > Th. List > df-rp | Structured version Visualization version Unicode version |
Description: Define the set of positive reals. Definition of positive numbers in [Apostol] p. 20. (Contributed by NM, 27-Oct-2007.) |
Ref | Expression |
---|---|
df-rp |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | crp 11330 |
. 2
![]() ![]() | |
2 | cc0 9564 |
. . . 4
![]() ![]() | |
3 | vx |
. . . . 5
![]() ![]() | |
4 | 3 | cv 1453 |
. . . 4
![]() ![]() |
5 | clt 9700 |
. . . 4
![]() ![]() | |
6 | 2, 4, 5 | wbr 4415 |
. . 3
![]() ![]() ![]() ![]() |
7 | cr 9563 |
. . 3
![]() ![]() | |
8 | 6, 3, 7 | crab 2752 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
9 | 1, 8 | wceq 1454 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff setvar class |
This definition is referenced by: elrp 11332 rpre 11336 ioorp 11740 |
Copyright terms: Public domain | W3C validator |