Description: The value of an operation class abstraction. Compare ovidi . The condition ( x e. R /\ y e. S ) is been removed. (Contributed by Mario Carneiro, 29-Dec-2014)
Ref | Expression | ||
---|---|---|---|
Hypotheses | ovidig.1 | |
|
ovidig.2 | |
||
Assertion | ovidig | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ovidig.1 | |
|
2 | ovidig.2 | |
|
3 | df-ov | |
|
4 | 1 | funoprab | |
5 | 2 | funeqi | |
6 | 4 5 | mpbir | |
7 | oprabidw | |
|
8 | 7 | biimpri | |
9 | 8 2 | eleqtrrdi | |
10 | funopfv | |
|
11 | 6 9 10 | mpsyl | |
12 | 3 11 | eqtrid | |