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Definition df-bj-2upl 32699
Description: Definition of the Morse couple. See df-bj-1upl 32686. New usage is discouraged because the precise definition is generally unimportant compared to the characteristic properties bj-2upleq 32700, bj-2uplth 32709, bj-2uplex 32710, and the properties of the projections (see df-bj-pr1 32689 and df-bj-pr2 32703). (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 32698 . 2 class 𝐴, 𝐵
41bj-c1upl 32685 . . 3 class 𝐴
5 c1o 7513 . . . . 5 class 1𝑜
65csn 4155 . . . 4 class {1𝑜}
72bj-ctag 32662 . . . 4 class tag 𝐵
86, 7cxp 5082 . . 3 class ({1𝑜} × tag 𝐵)
94, 8cun 3558 . 2 class (⦅𝐴⦆ ∪ ({1𝑜} × tag 𝐵))
103, 9wceq 1480 1 wff 𝐴, 𝐵⦆ = (⦅𝐴⦆ ∪ ({1𝑜} × tag 𝐵))
Colors of variables: wff setvar class
This definition is referenced by:  bj-2upleq  32700  bj-pr21val  32701  bj-pr22val  32707  bj-2uplex  32710  bj-2upln0  32711  bj-2upln1upl  32712
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