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 , bj-pr22val , bj-pr2ex . (Contributed by BJ, 6-Oct-2018) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-bj-pr2 | ⊢ pr2 𝐴 = ( 1o Proj 𝐴 ) | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 0 | cA | ⊢ 𝐴 | |
| 1 | 0 | bj-cpr2 | ⊢ pr2 𝐴 | 
| 2 | c1o | ⊢ 1o | |
| 3 | 2 0 | bj-cproj | ⊢ ( 1o Proj 𝐴 ) | 
| 4 | 1 3 | wceq | ⊢ pr2 𝐴 = ( 1o Proj 𝐴 ) |