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| Mirrors > Home > MPE Home > Th. List > Mathboxes > df-succf | Structured version Visualization version Unicode version | ||
| Description: Define the successor function. See brsuccf 32048 for its value. (Contributed by Scott Fenton, 14-Apr-2014.) |
| Ref | Expression |
|---|---|
| df-succf |
 Succ   Cup    Singleton |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | csuccf 31955 |
. 2
Succ | |
| 2 | ccup 31953 |
. . 3
Cup | |
| 3 | cid 5023 |
. . . 4
| |
| 4 | csingle 31945 |
. . . 4
Singleton | |
| 5 | 3, 4 | ctxp 31937 |
. . 3
Singleton |
| 6 | 2, 5 | ccom 5118 |
. 2
Cup
Singleton |
| 7 | 1, 6 | wceq 1483 |
1
 Succ Cup Singleton |
| Colors of variables: wff setvar class |
| This definition is referenced by: brsuccf 32048 |
| Copyright terms: Public domain | W3C validator |