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Mirrors > Home > ILE Home > Th. List > df-int | Unicode version |
Description: Define the intersection of a class. Definition 7.35 of [TakeutiZaring] p. 44. For example, { { 1 , 3 } , { 1 , 8 } } = { 1 } . Compare this with the intersection of two classes, df-in 3077. (Contributed by NM, 18-Aug-1993.) |
Ref | Expression |
---|---|
df-int |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA | . . 3 | |
2 | 1 | cint 3771 | . 2 |
3 | vy | . . . . . . 7 | |
4 | 3 | cv 1330 | . . . . . 6 |
5 | 4, 1 | wcel 1480 | . . . . 5 |
6 | vx | . . . . . 6 | |
7 | 6, 3 | wel 1481 | . . . . 5 |
8 | 5, 7 | wi 4 | . . . 4 |
9 | 8, 3 | wal 1329 | . . 3 |
10 | 9, 6 | cab 2125 | . 2 |
11 | 2, 10 | wceq 1331 | 1 |
Colors of variables: wff set class |
This definition is referenced by: dfint2 3773 elint 3777 int0 3785 dfiin2g 3846 bdcint 13075 bdcriota 13081 |
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