Definition df-inl 7008

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

Assertion

Ref	Expression
df-inl	⊢ inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

Detailed syntax breakdown of Definition df-inl

Step	Hyp	Ref	Expression
1		cinl 7006	. 2 class inl
2		vx	. . 3 setvar 𝑥
3		cvv 2725	. . 3 class V
4		c0 3408	. . . 4 class ∅
5	2	cv 1342	. . . 4 class 𝑥
6	4, 5	cop 3578	. . 3 class ⟨∅, 𝑥⟩
7	2, 3, 6	cmpt 4042	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1343	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is referenced by:  djulclr  7010  djulcl  7012  djulclb  7016  djulf1or  7017  djulf1o  7019  inl11  7026  djuss  7031  1stinl  7035  2ndinl  7036  caseinj  7050  caseinl  7052  djudoml  7171  djulclALT  13642