Definition df-inl 9916

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 9913	. 2 class inl
2		vx	. . 3 setvar 𝑥
3		cvv 3459	. . 3 class V
4		c0 4308	. . . 4 class ∅
5	2	cv 1539	. . . 4 class 𝑥
6	4, 5	cop 4607	. . 3 class ⟨∅, 𝑥⟩
7	2, 3, 6	cmpt 5201	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1540	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is referenced by:  djulcl  9924  djulf1o  9926  inlresf  9928  djur  9933  djuss  9934  djuun  9940  1stinl  9941  2ndinl  9942