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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 35119, bj-pr11val 35122, bj-pr21val 35130, bj-pr1ex 35123. (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 35117 | . 2 class pr1 𝐴 |
3 | c0 4253 | . . 3 class ∅ | |
4 | 3, 1 | bj-cproj 35107 | . 2 class (∅ Proj 𝐴) |
5 | 2, 4 | wceq 1539 | 1 wff pr1 𝐴 = (∅ Proj 𝐴) |
Colors of variables: wff setvar class |
This definition is referenced by: bj-pr1eq 35119 bj-pr1un 35120 bj-pr1val 35121 bj-pr1ex 35123 |
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