Description: Right injection of a disjoint union. (Contributed by Mario Carneiro, 21-Jun-2022)
Ref | Expression | ||
---|---|---|---|
Assertion | df-inr | ⊢ inr = ( 𝑥 ∈ V ↦ 〈 1o , 𝑥 〉 ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
0 | cinr | ⊢ inr | |
1 | vx | ⊢ 𝑥 | |
2 | cvv | ⊢ V | |
3 | c1o | ⊢ 1o | |
4 | 1 | cv | ⊢ 𝑥 |
5 | 3 4 | cop | ⊢ 〈 1o , 𝑥 〉 |
6 | 1 2 5 | cmpt | ⊢ ( 𝑥 ∈ V ↦ 〈 1o , 𝑥 〉 ) |
7 | 0 6 | wceq | ⊢ inr = ( 𝑥 ∈ V ↦ 〈 1o , 𝑥 〉 ) |