Definition df-inl 7156

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 7154	. 2 class inl
2		vx	. . 3 setvar 𝑥
3		cvv 2773	. . 3 class V
4		c0 3461	. . . 4 class ∅
5	2	cv 1372	. . . 4 class 𝑥
6	4, 5	cop 3637	. . 3 class ⟨∅, 𝑥⟩
7	2, 3, 6	cmpt 4109	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1373	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is referenced by:  djulclr  7158  djulcl  7160  djulclb  7164  djulf1or  7165  djulf1o  7167  inl11  7174  djuss  7179  1stinl  7183  2ndinl  7184  caseinj  7198  caseinl  7200  djudoml  7338  djulclALT  15811