Metamath Proof Explorer


Definition df-bj-pr1

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 , bj-pr11val , bj-pr21val , bj-pr1ex . (Contributed by BJ, 6-Apr-2019) (New usage is discouraged.)

Ref Expression
Assertion df-bj-pr1 pr1 𝐴 = ( ∅ Proj 𝐴 )

Detailed syntax breakdown

Step Hyp Ref Expression
0 cA 𝐴
1 0 bj-cpr1 pr1 𝐴
2 c0
3 2 0 bj-cproj ( ∅ Proj 𝐴 )
4 1 3 wceq pr1 𝐴 = ( ∅ Proj 𝐴 )