| Mathbox for BJ |
< Previous
Next >
Nearby theorems |
||
| Mirrors > Home > MPE Home > Th. List > Mathboxes > df-bj-pr1 | Structured version Visualization version GIF version | ||
| Description: Definition of the first projection of a class tuple. New usage is discouraged because the precise definition is generally unimportant compared to the characteristic properties bj-pr1eq 36997, bj-pr11val 37000, bj-pr21val 37008, bj-pr1ex 37001. (Contributed by BJ, 6-Apr-2019.) (New usage is discouraged.) |
| Ref | Expression |
|---|---|
| df-bj-pr1 | ⊢ pr1 𝐴 = (∅ Proj 𝐴) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cA | . . 3 class 𝐴 | |
| 2 | 1 | bj-cpr1 36995 | . 2 class pr1 𝐴 |
| 3 | c0 4299 | . . 3 class ∅ | |
| 4 | 3, 1 | bj-cproj 36985 | . 2 class (∅ Proj 𝐴) |
| 5 | 2, 4 | wceq 1540 | 1 wff pr1 𝐴 = (∅ Proj 𝐴) |
| Colors of variables: wff setvar class |
| This definition is referenced by: bj-pr1eq 36997 bj-pr1un 36998 bj-pr1val 36999 bj-pr1ex 37001 |
| Copyright terms: Public domain | W3C validator |