Definition df-inl 7046

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 7044	. 2 class inl
2		vx	. . 3 setvar 𝑥
3		cvv 2738	. . 3 class V
4		c0 3423	. . . 4 class ∅
5	2	cv 1352	. . . 4 class 𝑥
6	4, 5	cop 3596	. . 3 class ⟨∅, 𝑥⟩
7	2, 3, 6	cmpt 4065	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1353	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is referenced by:  djulclr  7048  djulcl  7050  djulclb  7054  djulf1or  7055  djulf1o  7057  inl11  7064  djuss  7069  1stinl  7073  2ndinl  7074  caseinj  7088  caseinl  7090  djudoml  7218  djulclALT  14556