Definition df-inl 7340

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 7338	. 2 class inl
2		vx	. . 3 setvar 𝑥
3		cvv 2815	. . 3 class V
4		c0 3510	. . . 4 class ∅
5	2	cv 1397	. . . 4 class 𝑥
6	4, 5	cop 3694	. . 3 class ⟨∅, 𝑥⟩
7	2, 3, 6	cmpt 4173	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1398	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is referenced by:  djulclr  7342  djulcl  7344  djulclb  7348  djulf1or  7349  djulf1o  7351  inl11  7358  djuss  7363  1stinl  7367  2ndinl  7368  caseinj  7382  caseinl  7384  djudoml  7528  djulclALT  16622