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Mirrors > Home > MPE Home > Th. List > df-inr | Structured version Visualization version GIF version |
Description: Right injection of a disjoint union. (Contributed by Mario Carneiro, 21-Jun-2022.) |
Ref | Expression |
---|---|
df-inr | ⊢ inr = (𝑥 ∈ V ↦ ⟨1o, 𝑥⟩) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cinr 9841 | . 2 class inr | |
2 | vx | . . 3 setvar 𝑥 | |
3 | cvv 3444 | . . 3 class V | |
4 | c1o 8406 | . . . 4 class 1o | |
5 | 2 | cv 1541 | . . . 4 class 𝑥 |
6 | 4, 5 | cop 4593 | . . 3 class ⟨1o, 𝑥⟩ |
7 | 2, 3, 6 | cmpt 5189 | . 2 class (𝑥 ∈ V ↦ ⟨1o, 𝑥⟩) |
8 | 1, 7 | wceq 1542 | 1 wff inr = (𝑥 ∈ V ↦ ⟨1o, 𝑥⟩) |
Colors of variables: wff setvar class |
This definition is referenced by: djurcl 9852 djurf1o 9854 inrresf 9857 djur 9860 djuss 9861 djuun 9867 1stinr 9870 2ndinr 9871 |
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