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Mirrors > Home > ILE Home > Th. List > df-of | Unicode version |
Description: Define the function operation map. The definition is designed so that if is a binary operation, then is the analogous operation on functions which corresponds to applying pointwise to the values of the functions. (Contributed by Mario Carneiro, 20-Jul-2014.) |
Ref | Expression |
---|---|
df-of |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cR | . . 3 | |
2 | 1 | cof 5710 | . 2 |
3 | vf | . . 3 | |
4 | vg | . . 3 | |
5 | cvv 2557 | . . 3 | |
6 | vx | . . . 4 | |
7 | 3 | cv 1242 | . . . . . 6 |
8 | 7 | cdm 4345 | . . . . 5 |
9 | 4 | cv 1242 | . . . . . 6 |
10 | 9 | cdm 4345 | . . . . 5 |
11 | 8, 10 | cin 2916 | . . . 4 |
12 | 6 | cv 1242 | . . . . . 6 |
13 | 12, 7 | cfv 4902 | . . . . 5 |
14 | 12, 9 | cfv 4902 | . . . . 5 |
15 | 13, 14, 1 | co 5512 | . . . 4 |
16 | 6, 11, 15 | cmpt 3818 | . . 3 |
17 | 3, 4, 5, 5, 16 | cmpt2 5514 | . 2 |
18 | 2, 17 | wceq 1243 | 1 |
Colors of variables: wff set class |
This definition is referenced by: ofeq 5714 ofexg 5716 offval 5719 offval3 5761 ofmres 5763 |
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