Definition df-inl 9896

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 9893	. 2 class inl
2		vx	. . 3 setvar 𝑥
3		cvv 3474	. . 3 class V
4		c0 4322	. . . 4 class ∅
5	2	cv 1540	. . . 4 class 𝑥
6	4, 5	cop 4634	. . 3 class ⟨∅, 𝑥⟩
7	2, 3, 6	cmpt 5231	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1541	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is referenced by:  djulcl  9904  djulf1o  9906  inlresf  9908  djur  9913  djuss  9914  djuun  9920  1stinl  9921  2ndinl  9922