Definition df-inl 7122

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 7120	. 2 class inl
2		vx	. . 3 setvar 𝑥
3		cvv 2763	. . 3 class V
4		c0 3451	. . . 4 class ∅
5	2	cv 1363	. . . 4 class 𝑥
6	4, 5	cop 3626	. . 3 class ⟨∅, 𝑥⟩
7	2, 3, 6	cmpt 4095	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1364	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is referenced by:  djulclr  7124  djulcl  7126  djulclb  7130  djulf1or  7131  djulf1o  7133  inl11  7140  djuss  7145  1stinl  7149  2ndinl  7150  caseinj  7164  caseinl  7166  djudoml  7302  djulclALT  15531