Definition df-inl 6925

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 6923	. 2 class inl
2		vx	. . 3 setvar 𝑥
3		cvv 2681	. . 3 class V
4		c0 3358	. . . 4 class ∅
5	2	cv 1330	. . . 4 class 𝑥
6	4, 5	cop 3525	. . 3 class ⟨∅, 𝑥⟩
7	2, 3, 6	cmpt 3984	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1331	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is referenced by:  djulclr  6927  djulcl  6929  djulclb  6933  djulf1or  6934  djulf1o  6936  inl11  6943  djuss  6948  1stinl  6952  2ndinl  6953  caseinj  6967  caseinl  6969  djudoml  7068  djulclALT  12997