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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 7160 | . 2 class inr | |
| 2 | vx | . . 3 setvar 𝑥 | |
| 3 | cvv 2773 | . . 3 class V | |
| 4 | c1o 6505 | . . . 4 class 1o | |
| 5 | 2 | cv 1372 | . . . 4 class 𝑥 |
| 6 | 4, 5 | cop 3638 | . . 3 class 〈1o, 𝑥〉 |
| 7 | 2, 3, 6 | cmpt 4110 | . 2 class (𝑥 ∈ V ↦ 〈1o, 𝑥〉) |
| 8 | 1, 7 | wceq 1373 | 1 wff inr = (𝑥 ∈ V ↦ 〈1o, 𝑥〉) |
| Colors of variables: wff set class |
| This definition is referenced by: djurclr 7164 djurcl 7166 djurf1or 7171 djurf1o 7173 djuss 7184 1stinr 7190 2ndinr 7191 caseinj 7203 caseinr 7206 djudomr 7345 djurclALT 15852 |
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