Definition df-inl 7182

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 7180	. 2 class inl
2		vx	. . 3 setvar 𝑥
3		cvv 2779	. . 3 class V
4		c0 3471	. . . 4 class ∅
5	2	cv 1374	. . . 4 class 𝑥
6	4, 5	cop 3649	. . 3 class ⟨∅, 𝑥⟩
7	2, 3, 6	cmpt 4124	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1375	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is referenced by:  djulclr  7184  djulcl  7186  djulclb  7190  djulf1or  7191  djulf1o  7193  inl11  7200  djuss  7205  1stinl  7209  2ndinl  7210  caseinj  7224  caseinl  7226  djudoml  7369  djulclALT  16075