Definition df-inl 7251

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 7249	. 2 class inl
2		vx	. . 3 setvar 𝑥
3		cvv 2801	. . 3 class V
4		c0 3493	. . . 4 class ∅
5	2	cv 1396	. . . 4 class 𝑥
6	4, 5	cop 3673	. . 3 class ⟨∅, 𝑥⟩
7	2, 3, 6	cmpt 4151	. 2 class (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)
8	1, 7	wceq 1397	1 wff inl = (𝑥 ∈ V ↦ ⟨∅, 𝑥⟩)

This definition is referenced by:  djulclr  7253  djulcl  7255  djulclb  7259  djulf1or  7260  djulf1o  7262  inl11  7269  djuss  7274  1stinl  7278  2ndinl  7279  caseinj  7293  caseinl  7295  djudoml  7439  djulclALT  16458