Definition df-bj-tag 36160

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 36159	. 2 class tag 𝐴
3	1	bj-csngl 36150	. . 3 class sngl 𝐴
4		c0 4323	. . . 4 class ∅
5	4	csn 4629	. . 3 class {∅}
6	3, 5	cun 3947	. 2 class (sngl 𝐴 ∪ {∅})
7	2, 6	wceq 1540	1 wff tag 𝐴 = (sngl 𝐴 ∪ {∅})

This definition is referenced by:  bj-tageq  36161  bj-eltag  36162  bj-0eltag  36163  bj-tagss  36165  bj-snglsstag  36166  bj-sngltag  36168  bj-tagex  36172