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| Mirrors > Home > NFE Home > Th. List > df-funs | GIF version | ||
| Description: Define the class of all functions. (Contributed by SF, 9-Feb-2015.) | 
| Ref | Expression | 
|---|---|
| df-funs | ⊢ Funs = {f ∣ Fun f} | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | cfuns 5760 | . 2 class Funs | |
| 2 | vf | . . . . 5 setvar f | |
| 3 | 2 | cv 1641 | . . . 4 class f | 
| 4 | 3 | wfun 4776 | . . 3 wff Fun f | 
| 5 | 4, 2 | cab 2339 | . 2 class {f ∣ Fun f} | 
| 6 | 1, 5 | wceq 1642 | 1 wff Funs = {f ∣ Fun f} | 
| Colors of variables: wff setvar class | 
| This definition is referenced by: funsex 5829 elfuns 5830 pmex 6006 | 
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