MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  df-inr Structured version   Visualization version   GIF version

Definition df-inr 9320
Description: Right injection of a disjoint union. (Contributed by Mario Carneiro, 21-Jun-2022.)
Assertion
Ref Expression
df-inr inr = (𝑥 ∈ V ↦ ⟨1o, 𝑥⟩)

Detailed syntax breakdown of Definition df-inr
StepHypRef Expression
1 cinr 9317 . 2 class inr
2 vx . . 3 setvar 𝑥
3 cvv 3444 . . 3 class V
4 c1o 8082 . . . 4 class 1o
52cv 1537 . . . 4 class 𝑥
64, 5cop 4534 . . 3 class ⟨1o, 𝑥
72, 3, 6cmpt 5113 . 2 class (𝑥 ∈ V ↦ ⟨1o, 𝑥⟩)
81, 7wceq 1538 1 wff inr = (𝑥 ∈ V ↦ ⟨1o, 𝑥⟩)
Colors of variables: wff setvar class
This definition is referenced by:  djurcl  9328  djurf1o  9330  inrresf  9333  djur  9336  djuss  9337  djuun  9343  1stinr  9346  2ndinr  9347
  Copyright terms: Public domain W3C validator