Metamath Proof Explorer


Definition df-inr

Description: Right injection of a disjoint union. (Contributed by Mario Carneiro, 21-Jun-2022)

Ref Expression
Assertion df-inr inr=xV1𝑜x

Detailed syntax breakdown

Step Hyp Ref Expression
0 cinr classinr
1 vx setvarx
2 cvv classV
3 c1o class1𝑜
4 1 cv setvarx
5 3 4 cop class1𝑜x
6 1 2 5 cmpt classxV1𝑜x
7 0 6 wceq wffinr=xV1𝑜x