Definition df-inl 9964

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 9961	. 2 class inl
2		vx	. . 3 setvar 𝑥
3		cvv 3451	. . 3 class V
4		c0 4279	. . . 4 class ∅
5	2	cv 1569	. . . 4 class 𝑥
6	4, 5	cop 4590	. . 3 class ⟨∅, 𝑥⟩
7	2, 3, 6	cmpt 5186	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1570	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is used by:  djulcl  9972  djulf1o  9974  inlresf  9976  djur  9981  djuss  9982  djuun  9988  1stinl  9989  2ndinl  9990