Definition df-inl 7381

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 7379	. 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 3711	. . 3 class ⟨∅, 𝑥⟩
7	2, 3, 6	cmpt 4190	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1402	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is referenced by:  djulclr  7383  djulcl  7385  djulclb  7389  djulf1or  7390  djulf1o  7392  inl11  7399  djuss  7404  1stinl  7408  2ndinl  7409  caseinj  7423  caseinl  7425  djudoml  7569  djulclALT  16812