Definition df-inl 7024

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 7022	. 2 class inl
2		vx	. . 3 setvar 𝑥
3		cvv 2730	. . 3 class V
4		c0 3414	. . . 4 class ∅
5	2	cv 1347	. . . 4 class 𝑥
6	4, 5	cop 3586	. . 3 class ⟨∅, 𝑥⟩
7	2, 3, 6	cmpt 4050	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1348	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is referenced by:  djulclr  7026  djulcl  7028  djulclb  7032  djulf1or  7033  djulf1o  7035  inl11  7042  djuss  7047  1stinl  7051  2ndinl  7052  caseinj  7066  caseinl  7068  djudoml  7196  djulclALT  13836