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| 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 37205, bj-pr11val 37208, bj-pr21val 37216, bj-pr1ex 37209. (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 37203 | . 2 class pr1 𝐴 |
| 3 | c0 4286 | . . 3 class ∅ | |
| 4 | 3, 1 | bj-cproj 37193 | . 2 class (∅ Proj 𝐴) |
| 5 | 2, 4 | wceq 1542 | 1 wff pr1 𝐴 = (∅ Proj 𝐴) |
| Colors of variables: wff setvar class |
| This definition is referenced by: bj-pr1eq 37205 bj-pr1un 37206 bj-pr1val 37207 bj-pr1ex 37209 |
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