ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  df-inr GIF version

Definition df-inr 7123
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 7121 . 2 class inr
2 vx . . 3 setvar 𝑥
3 cvv 2763 . . 3 class V
4 c1o 6476 . . . 4 class 1o
52cv 1363 . . . 4 class 𝑥
64, 5cop 3626 . . 3 class ⟨1o, 𝑥
72, 3, 6cmpt 4095 . 2 class (𝑥 ∈ V ↦ ⟨1o, 𝑥⟩)
81, 7wceq 1364 1 wff inr = (𝑥 ∈ V ↦ ⟨1o, 𝑥⟩)
Colors of variables: wff set class
This definition is referenced by:  djurclr  7125  djurcl  7127  djurf1or  7132  djurf1o  7134  djuss  7145  1stinr  7151  2ndinr  7152  caseinj  7164  caseinr  7167  djudomr  7303  djurclALT  15532
  Copyright terms: Public domain W3C validator