Definition df-inl 7387

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 7385	. 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 3712	. . 3 class ⟨∅, 𝑥⟩
7	2, 3, 6	cmpt 4192	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1402	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is used by:  djulclr  7389  djulcl  7391  djulclb  7395  djulf1or  7396  djulf1o  7398  inl11  7405  djuss  7410  1stinl  7414  2ndinl  7415  caseinj  7429  caseinl  7431  djudoml  7575  djulclALT  16841