Definition df-inl 7337

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 7335	. 2 class inl
2		vx	. . 3 setvar 𝑥
3		cvv 2812	. . 3 class V
4		c0 3507	. . . 4 class ∅
5	2	cv 1397	. . . 4 class 𝑥
6	4, 5	cop 3691	. . 3 class ⟨∅, 𝑥⟩
7	2, 3, 6	cmpt 4170	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1398	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is referenced by:  djulclr  7339  djulcl  7341  djulclb  7345  djulf1or  7346  djulf1o  7348  inl11  7355  djuss  7360  1stinl  7364  2ndinl  7365  caseinj  7379  caseinl  7381  djudoml  7525  djulclALT  16560