Definition df-inl 7246

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 7244	. 2 class inl
2		vx	. . 3 setvar 𝑥
3		cvv 2802	. . 3 class V
4		c0 3494	. . . 4 class ∅
5	2	cv 1396	. . . 4 class 𝑥
6	4, 5	cop 3672	. . 3 class ⟨∅, 𝑥⟩
7	2, 3, 6	cmpt 4150	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1397	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is referenced by:  djulclr  7248  djulcl  7250  djulclb  7254  djulf1or  7255  djulf1o  7257  inl11  7264  djuss  7269  1stinl  7273  2ndinl  7274  caseinj  7288  caseinl  7290  djudoml  7434  djulclALT  16418