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| Mirrors > Home > MPE Home > Th. List > Mathboxes > df-bj-pr2 | Structured version Visualization version GIF version | ||
| Description: Definition of the second projection of a class tuple. New usage is discouraged because the precise definition is generally unimportant compared to the characteristic properties bj-pr2eq 33004, bj-pr22val 33007, bj-pr2ex 33008. (Contributed by BJ, 6-Oct-2018.) (New usage is discouraged.) |
| Ref | Expression |
|---|---|
| df-bj-pr2 | ⊢ pr2 𝐴 = (1𝑜 Proj 𝐴) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cA | . . 3 class 𝐴 | |
| 2 | 1 | bj-cpr2 33002 | . 2 class pr2 𝐴 |
| 3 | c1o 7553 | . . 3 class 1𝑜 | |
| 4 | 3, 1 | bj-cproj 32978 | . 2 class (1𝑜 Proj 𝐴) |
| 5 | 2, 4 | wceq 1483 | 1 wff pr2 𝐴 = (1𝑜 Proj 𝐴) |
| Colors of variables: wff setvar class |
| This definition is referenced by: bj-pr2eq 33004 bj-pr2un 33005 bj-pr2val 33006 bj-pr2ex 33008 |
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