Definition df-inl 7388

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 7386	. 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 4192	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1402	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is used by:  djulclr  7390  djulcl  7392  djulclb  7396  djulf1or  7397  djulf1o  7399  inl11  7406  djuss  7411  1stinl  7415  2ndinl  7416  caseinj  7430  caseinl  7432  djudoml  7576  djulclALT  17000