Definition df-inl 7113

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 7111	. 2 class inl
2		vx	. . 3 setvar 𝑥
3		cvv 2763	. . 3 class V
4		c0 3450	. . . 4 class ∅
5	2	cv 1363	. . . 4 class 𝑥
6	4, 5	cop 3625	. . 3 class ⟨∅, 𝑥⟩
7	2, 3, 6	cmpt 4094	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1364	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is referenced by:  djulclr  7115  djulcl  7117  djulclb  7121  djulf1or  7122  djulf1o  7124  inl11  7131  djuss  7136  1stinl  7140  2ndinl  7141  caseinj  7155  caseinl  7157  djudoml  7286  djulclALT  15447