Definition df-inl 9857

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 9854	. 2 class inl
2		vx	. . 3 setvar 𝑥
3		cvv 3453	. . 3 class V
4		c0 4285	. . . 4 class ∅
5	2	cv 1558	. . . 4 class 𝑥
6	4, 5	cop 4587	. . 3 class ⟨∅, 𝑥⟩
7	2, 3, 6	cmpt 5180	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1559	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is referenced by:  djulcl  9865  djulf1o  9867  inlresf  9869  djur  9874  djuss  9875  djuun  9881  1stinl  9882  2ndinl  9883