Definition df-inl 7222

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 7220	. 2 class inl
2		vx	. . 3 setvar 𝑥
3		cvv 2799	. . 3 class V
4		c0 3491	. . . 4 class ∅
5	2	cv 1394	. . . 4 class 𝑥
6	4, 5	cop 3669	. . 3 class ⟨∅, 𝑥⟩
7	2, 3, 6	cmpt 4145	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1395	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is referenced by:  djulclr  7224  djulcl  7226  djulclb  7230  djulf1or  7231  djulf1o  7233  inl11  7240  djuss  7245  1stinl  7249  2ndinl  7250  caseinj  7264  caseinl  7266  djudoml  7409  djulclALT  16189