![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE Home > Th. List > df-po | Unicode version |
Description: Define the strict partial
order predicate. Definition of [Enderton]
p. 168. The expression ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
df-po |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA |
. . 3
![]() ![]() | |
2 | cR |
. . 3
![]() ![]() | |
3 | 1, 2 | wpo 4294 |
. 2
![]() ![]() ![]() ![]() |
4 | vx |
. . . . . . . . 9
![]() ![]() | |
5 | 4 | cv 1352 |
. . . . . . . 8
![]() ![]() |
6 | 5, 5, 2 | wbr 4003 |
. . . . . . 7
![]() ![]() ![]() ![]() |
7 | 6 | wn 3 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() |
8 | vy |
. . . . . . . . . 10
![]() ![]() | |
9 | 8 | cv 1352 |
. . . . . . . . 9
![]() ![]() |
10 | 5, 9, 2 | wbr 4003 |
. . . . . . . 8
![]() ![]() ![]() ![]() |
11 | vz |
. . . . . . . . . 10
![]() ![]() | |
12 | 11 | cv 1352 |
. . . . . . . . 9
![]() ![]() |
13 | 9, 12, 2 | wbr 4003 |
. . . . . . . 8
![]() ![]() ![]() ![]() |
14 | 10, 13 | wa 104 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
15 | 5, 12, 2 | wbr 4003 |
. . . . . . 7
![]() ![]() ![]() ![]() |
16 | 14, 15 | wi 4 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
17 | 7, 16 | wa 104 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
18 | 17, 11, 1 | wral 2455 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
19 | 18, 8, 1 | wral 2455 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
20 | 19, 4, 1 | wral 2455 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
21 | 3, 20 | wb 105 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
This definition is referenced by: poss 4298 poeq1 4299 nfpo 4301 pocl 4303 ispod 4304 po0 4311 poinxp 4695 posng 4698 cnvpom 5171 isopolem 5822 poxp 6232 |
Copyright terms: Public domain | W3C validator |