Description: Membership relation for set exponentiation. (Contributed by NM, 17-Oct-2006) (Revised by Mario Carneiro, 15-Nov-2014)
Ref | Expression | ||
---|---|---|---|
Assertion | elmapg | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mapvalg | |
|
2 | 1 | eleq2d | |
3 | fex2 | |
|
4 | 3 | 3com13 | |
5 | 4 | 3expia | |
6 | feq1 | |
|
7 | 6 | elab3g | |
8 | 5 7 | syl | |
9 | 2 8 | bitrd | |