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Definition df-bj-1upl 32686
Description: Definition of the Morse monuple (1-tuple). This is not useful per se, but is used as a step towards the definition of couples (2-tuples, or ordered pairs). The reason for "tagging" the set is so that an m-tuple and an n-tuple be equal only when m = n. Note that with this definition, the 0-tuple is the empty set. 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-Apr-2019.) (New usage is discouraged.)
Assertion
Ref Expression
df-bj-1upl 𝐴⦆ = ({∅} × tag 𝐴)

Detailed syntax breakdown of Definition df-bj-1upl
StepHypRef Expression
1 cA . . 3 class 𝐴
21bj-c1upl 32685 . 2 class 𝐴
3 c0 3897 . . . 4 class
43csn 4155 . . 3 class {∅}
51bj-ctag 32662 . . 3 class tag 𝐴
64, 5cxp 5082 . 2 class ({∅} × tag 𝐴)
72, 6wceq 1480 1 wff 𝐴⦆ = ({∅} × tag 𝐴)
Colors of variables: wff setvar class
This definition is referenced by:  bj-1upleq  32687  bj-pr11val  32693  bj-1uplex  32696  bj-1upln0  32697  bj-pr22val  32707  bj-2upln1upl  32712
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