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Mirrors > Home > MPE Home > Th. List > Mathboxes > df-funpart | Structured version Visualization version Unicode version |
Description: Define the functional part of a class . This is the maximal part of that is a function. See funpartfun 32050 and funpartfv 32052 for the meaning of this statement. (Contributed by Scott Fenton, 16-Apr-2014.) |
Ref | Expression |
---|---|
df-funpart | Funpart Image Singleton |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cF | . . 3 | |
2 | 1 | cfunpart 31956 | . 2 Funpart |
3 | 1 | cimage 31947 | . . . . . 6 Image |
4 | csingle 31945 | . . . . . 6 Singleton | |
5 | 3, 4 | ccom 5118 | . . . . 5 Image Singleton |
6 | cvv 3200 | . . . . . 6 | |
7 | csingles 31946 | . . . . . 6 | |
8 | 6, 7 | cxp 5112 | . . . . 5 |
9 | 5, 8 | cin 3573 | . . . 4 Image Singleton |
10 | 9 | cdm 5114 | . . 3 Image Singleton |
11 | 1, 10 | cres 5116 | . 2 Image Singleton |
12 | 2, 11 | wceq 1483 | 1 Funpart Image Singleton |
Colors of variables: wff setvar class |
This definition is referenced by: funpartfun 32050 funpartss 32051 funpartfv 32052 |
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