Definition df-inl 7045

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 7043	. 2 class inl
2		vx	. . 3 setvar 𝑥
3		cvv 2737	. . 3 class V
4		c0 3422	. . . 4 class ∅
5	2	cv 1352	. . . 4 class 𝑥
6	4, 5	cop 3595	. . 3 class ⟨∅, 𝑥⟩
7	2, 3, 6	cmpt 4064	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1353	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is referenced by:  djulclr  7047  djulcl  7049  djulclb  7053  djulf1or  7054  djulf1o  7056  inl11  7063  djuss  7068  1stinl  7072  2ndinl  7073  caseinj  7087  caseinl  7089  djudoml  7217  djulclALT  14523