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Mirrors > Home > ILE Home > Th. List > df-xp | Unicode version |
Description: Define the cross product
of two classes. Definition 9.11 of [Quine]
p. 64. For example, ( { 1 , 5 } ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
df-xp |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA |
. . 3
![]() ![]() | |
2 | cB |
. . 3
![]() ![]() | |
3 | 1, 2 | cxp 4397 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() |
4 | vx |
. . . . . 6
![]() ![]() | |
5 | 4 | cv 1284 |
. . . . 5
![]() ![]() |
6 | 5, 1 | wcel 1434 |
. . . 4
![]() ![]() ![]() ![]() |
7 | vy |
. . . . . 6
![]() ![]() | |
8 | 7 | cv 1284 |
. . . . 5
![]() ![]() |
9 | 8, 2 | wcel 1434 |
. . . 4
![]() ![]() ![]() ![]() |
10 | 6, 9 | wa 102 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
11 | 10, 4, 7 | copab 3864 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
12 | 3, 11 | wceq 1285 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
This definition is referenced by: xpeq1 4413 xpeq2 4414 elxpi 4415 elxp 4416 nfxp 4425 fconstmpt 4441 brab2a 4447 xpundi 4450 xpundir 4451 opabssxp 4468 csbxpg 4475 xpss12 4501 inxp 4526 dmxpm 4612 resopab 4711 cnvxp 4802 xpcom 4929 dfxp3 5897 dmaddpq 6839 dmmulpq 6840 enq0enq 6891 npsspw 6931 shftfvalg 10078 shftfval 10081 |
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