Definition df-bj-2upl 36195

Description: Definition of the Morse couple. See df-bj-1upl 36182. New usage is discouraged because the precise definition is generally unimportant compared to the characteristic properties bj-2upleq 36196, bj-2uplth 36205, bj-2uplex 36206, and the properties of the projections (see df-bj-pr1 36185 and df-bj-pr2 36199). (Contributed by BJ, 6-Oct-2018.) (New usage is discouraged.)

Assertion

Ref	Expression
df-bj-2upl	⊢ ⦅𝐴, 𝐵⦆ = (⦅𝐴⦆ ∪ ({1o} × tag 𝐵))

Detailed syntax breakdown of Definition df-bj-2upl

Step	Hyp	Ref	Expression
1		cA	. . 3 class 𝐴
2		cB	. . 3 class 𝐵
3	1, 2	bj-c2uple 36194	. 2 class ⦅𝐴, 𝐵⦆
4	1	bj-c1upl 36181	. . 3 class ⦅𝐴⦆
5		c1o 8461	. . . . 5 class 1o
6	5	csn 4627	. . . 4 class {1o}
7	2	bj-ctag 36158	. . . 4 class tag 𝐵
8	6, 7	cxp 5673	. . 3 class ({1o} × tag 𝐵)
9	4, 8	cun 3945	. 2 class (⦅𝐴⦆ ∪ ({1o} × tag 𝐵))
10	3, 9	wceq 1539	1 wff ⦅𝐴, 𝐵⦆ = (⦅𝐴⦆ ∪ ({1o} × tag 𝐵))

This definition is referenced by:  bj-2upleq  36196  bj-pr21val  36197  bj-pr22val  36203  bj-2uplex  36206  bj-2upln0  36207  bj-2upln1upl  36208