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Mirrors > Home > NFE Home > Th. List > ax-xp | Unicode version |
Description: State the axiom of cross
product. This axiom guarantees the existence
of the (Kuratowski) cross product of ![]() ![]() |
Ref | Expression |
---|---|
ax-xp |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | vz |
. . . . 5
![]() ![]() | |
2 | vy |
. . . . 5
![]() ![]() | |
3 | 1, 2 | wel 1711 |
. . . 4
![]() ![]() ![]() ![]() |
4 | 1 | cv 1641 |
. . . . . . . 8
![]() ![]() |
5 | vw |
. . . . . . . . . 10
![]() ![]() | |
6 | 5 | cv 1641 |
. . . . . . . . 9
![]() ![]() |
7 | vt |
. . . . . . . . . 10
![]() ![]() | |
8 | 7 | cv 1641 |
. . . . . . . . 9
![]() ![]() |
9 | 6, 8 | copk 4058 |
. . . . . . . 8
![]() ![]() ![]() ![]() ![]() ![]() |
10 | 4, 9 | wceq 1642 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
11 | vx |
. . . . . . . 8
![]() ![]() | |
12 | 7, 11 | wel 1711 |
. . . . . . 7
![]() ![]() ![]() ![]() |
13 | 10, 12 | wa 358 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
14 | 13, 7 | wex 1541 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
15 | 14, 5 | wex 1541 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
16 | 3, 15 | wb 176 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
17 | 16, 1 | wal 1540 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
18 | 17, 2 | wex 1541 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff setvar class |
This axiom is referenced by: axxpprim 4091 xpkvexg 4286 |
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