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Mirrors > Home > ILE Home > Th. List > df-inr | 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 7002 | . 2 class inr | |
2 | vx | . . 3 setvar 𝑥 | |
3 | cvv 2721 | . . 3 class V | |
4 | c1o 6368 | . . . 4 class 1o | |
5 | 2 | cv 1341 | . . . 4 class 𝑥 |
6 | 4, 5 | cop 3573 | . . 3 class 〈1o, 𝑥〉 |
7 | 2, 3, 6 | cmpt 4037 | . 2 class (𝑥 ∈ V ↦ 〈1o, 𝑥〉) |
8 | 1, 7 | wceq 1342 | 1 wff inr = (𝑥 ∈ V ↦ 〈1o, 𝑥〉) |
Colors of variables: wff set class |
This definition is referenced by: djurclr 7006 djurcl 7008 djurf1or 7013 djurf1o 7015 djuss 7026 1stinr 7032 2ndinr 7033 caseinj 7045 caseinr 7048 djudomr 7167 djurclALT 13518 |
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