Definition df-inl 7235

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 7233	. 2 class inl
2		vx	. . 3 setvar 𝑥
3		cvv 2800	. . 3 class V
4		c0 3492	. . . 4 class ∅
5	2	cv 1394	. . . 4 class 𝑥
6	4, 5	cop 3670	. . 3 class ⟨∅, 𝑥⟩
7	2, 3, 6	cmpt 4146	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1395	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is referenced by:  djulclr  7237  djulcl  7239  djulclb  7243  djulf1or  7244  djulf1o  7246  inl11  7253  djuss  7258  1stinl  7262  2ndinl  7263  caseinj  7277  caseinl  7279  djudoml  7422  djulclALT  16307