Definition df-inl 6793

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 6791	. 2 class inl
2		vx	. . 3 setvar 𝑥
3		cvv 2620	. . 3 class V
4		c0 3287	. . . 4 class ∅
5	2	cv 1289	. . . 4 class 𝑥
6	4, 5	cop 3453	. . 3 class ⟨∅, 𝑥⟩
7	2, 3, 6	cmpt 3905	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1290	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is referenced by:  djulclr  6795  djulcl  6797  djulclb  6801  djulf1or  6802  djulf1o  6804  djur  6811  djuun  6814  djuss  6815  1stinl  6819  2ndinl  6820  caseinj  6834  djulclALT  11967