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Definition df-bj-2upl 36994
Description: Definition of the Morse couple. See df-bj-1upl 36981. New usage is discouraged because the precise definition is generally unimportant compared to the characteristic properties bj-2upleq 36995, bj-2uplth 37004, bj-2uplex 37005, and the properties of the projections (see df-bj-pr1 36984 and df-bj-pr2 36998). (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
StepHypRef Expression
1 cA . . 3 class 𝐴
2 cB . . 3 class 𝐵
31, 2bj-c2uple 36993 . 2 class 𝐴, 𝐵
41bj-c1upl 36980 . . 3 class 𝐴
5 c1o 8498 . . . . 5 class 1o
65csn 4631 . . . 4 class {1o}
72bj-ctag 36957 . . . 4 class tag 𝐵
86, 7cxp 5687 . . 3 class ({1o} × tag 𝐵)
94, 8cun 3961 . 2 class (⦅𝐴⦆ ∪ ({1o} × tag 𝐵))
103, 9wceq 1537 1 wff 𝐴, 𝐵⦆ = (⦅𝐴⦆ ∪ ({1o} × tag 𝐵))
Colors of variables: wff setvar class
This definition is referenced by:  bj-2upleq  36995  bj-pr21val  36996  bj-pr22val  37002  bj-2uplex  37005  bj-2upln0  37006  bj-2upln1upl  37007
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