Definition df-bj-tag 35658

Description: Definition of the tagged copy of a class, that is, the adjunction to (an isomorph of) 𝐴 of a disjoint element (here, the empty set). Remark: this could be used for the one-point compactification of a topological space. (Contributed by BJ, 6-Oct-2018.)

Assertion

Ref	Expression
df-bj-tag	⊢ tag 𝐴 = (sngl 𝐴 ∪ {∅})

Detailed syntax breakdown of Definition df-bj-tag

Step	Hyp	Ref	Expression
1		cA	. . 3 class 𝐴
2	1	bj-ctag 35657	. 2 class tag 𝐴
3	1	bj-csngl 35648	. . 3 class sngl 𝐴
4		c0 4318	. . . 4 class ∅
5	4	csn 4622	. . 3 class {∅}
6	3, 5	cun 3942	. 2 class (sngl 𝐴 ∪ {∅})
7	2, 6	wceq 1541	1 wff tag 𝐴 = (sngl 𝐴 ∪ {∅})

This definition is referenced by:  bj-tageq  35659  bj-eltag  35660  bj-0eltag  35661  bj-tagss  35663  bj-snglsstag  35664  bj-sngltag  35666  bj-tagex  35670