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Definition df-bj-2upl 34220
Description: Definition of the Morse couple. See df-bj-1upl 34207. New usage is discouraged because the precise definition is generally unimportant compared to the characteristic properties bj-2upleq 34221, bj-2uplth 34230, bj-2uplex 34231, and the properties of the projections (see df-bj-pr1 34210 and df-bj-pr2 34224). (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 34219 . 2 class 𝐴, 𝐵
41bj-c1upl 34206 . . 3 class 𝐴
5 c1o 8084 . . . . 5 class 1o
65csn 4557 . . . 4 class {1o}
72bj-ctag 34183 . . . 4 class tag 𝐵
86, 7cxp 5546 . . 3 class ({1o} × tag 𝐵)
94, 8cun 3931 . 2 class (⦅𝐴⦆ ∪ ({1o} × tag 𝐵))
103, 9wceq 1528 1 wff 𝐴, 𝐵⦆ = (⦅𝐴⦆ ∪ ({1o} × tag 𝐵))
Colors of variables: wff setvar class
This definition is referenced by:  bj-2upleq  34221  bj-pr21val  34222  bj-pr22val  34228  bj-2uplex  34231  bj-2upln0  34232  bj-2upln1upl  34233
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