Definition df-inl 7393

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 7391	. 2 class inl
2		vx	. . 3 setvar 𝑥
3		cvv 2821	. . 3 class V
4		c0 3520	. . . 4 class ∅
5	2	cv 1401	. . . 4 class 𝑥
6	4, 5	cop 3712	. . 3 class ⟨∅, 𝑥⟩
7	2, 3, 6	cmpt 4193	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1402	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is used by:  djulclr  7395  djulcl  7397  djulclb  7401  djulf1or  7402  djulf1o  7404  inl11  7411  djuss  7416  1stinl  7420  2ndinl  7421  caseinj  7435  caseinl  7437  djudoml  7581  djulclALT  17051