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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 7201 | . 2 class inr | |
| 2 | vx | . . 3 setvar 𝑥 | |
| 3 | cvv 2799 | . . 3 class V | |
| 4 | c1o 6545 | . . . 4 class 1o | |
| 5 | 2 | cv 1394 | . . . 4 class 𝑥 |
| 6 | 4, 5 | cop 3669 | . . 3 class 〈1o, 𝑥〉 |
| 7 | 2, 3, 6 | cmpt 4144 | . 2 class (𝑥 ∈ V ↦ 〈1o, 𝑥〉) |
| 8 | 1, 7 | wceq 1395 | 1 wff inr = (𝑥 ∈ V ↦ 〈1o, 𝑥〉) |
| Colors of variables: wff set class |
| This definition is referenced by: djurclr 7205 djurcl 7207 djurf1or 7212 djurf1o 7214 djuss 7225 1stinr 7231 2ndinr 7232 caseinj 7244 caseinr 7247 djudomr 7390 djurclALT 16096 |
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