Definition df-bj-2upl 37999

Description: Definition of the Morse couple. See df-bj-1upl 37986. New usage is discouraged because the precise definition is generally unimportant compared to the characteristic properties bj-2upleq 38000, bj-2uplth 38009, bj-2uplex 38010, and the properties of the projections (see df-bj-pr1 37989 and df-bj-pr2 38003). (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 37998	. 2 class ⦅𝐴, 𝐵⦆
4	1	bj-c1upl 37985	. . 3 class ⦅𝐴⦆
5		c1o 8470	. . . . 5 class 1o
6	5	csn 4583	. . . 4 class {1o}
7	2	bj-ctag 37962	. . . 4 class tag 𝐵
8	6, 7	cxp 5648	. . 3 class ({1o} × tag 𝐵)
9	4, 8	cun 4149	. 2 class (⦅𝐴⦆ ∪ ({1o} × tag 𝐵))
10	3, 9	wceq 1569	1 wff ⦅𝐴, 𝐵⦆ = (⦅𝐴⦆ ∪ ({1o} × tag 𝐵))

This definition is used by:  bj-2upleq  38000  bj-pr21val  38001  bj-pr22val  38007  bj-2uplex  38010  bj-2upln0  38011  bj-2upln1upl  38012