![]() |
Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > MPE Home > Th. List > df-int | Structured version Visualization version Unicode version |
Description: Define the intersection
of a class. Definition 7.35 of [TakeutiZaring]
p. 44. For example, ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
df-int |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA |
. . 3
![]() ![]() | |
2 | 1 | cint 4204 |
. 2
![]() ![]() ![]() |
3 | vy |
. . . . . . 7
![]() ![]() | |
4 | 3 | cv 1447 |
. . . . . 6
![]() ![]() |
5 | 4, 1 | wcel 1891 |
. . . . 5
![]() ![]() ![]() ![]() |
6 | vx |
. . . . . 6
![]() ![]() | |
7 | 6, 3 | wel 1892 |
. . . . 5
![]() ![]() ![]() ![]() |
8 | 5, 7 | wi 4 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
9 | 8, 3 | wal 1446 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
10 | 9, 6 | cab 2438 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
11 | 2, 10 | wceq 1448 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff setvar class |
This definition is referenced by: dfint2 4206 elint 4210 int0 4218 dfiin2g 4281 |
Copyright terms: Public domain | W3C validator |