Definition df-inl 9911

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 9908	. 2 class inl
2		vx	. . 3 setvar 𝑥
3		cvv 3453	. . 3 class V
4		c0 4282	. . . 4 class ∅
5	2	cv 1569	. . . 4 class 𝑥
6	4, 5	cop 4593	. . 3 class ⟨∅, 𝑥⟩
7	2, 3, 6	cmpt 5190	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1570	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is used by:  djulcl  9919  djulf1o  9921  inlresf  9923  djur  9928  djuss  9929  djuun  9935  1stinl  9936  2ndinl  9937