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Theorem ordtconn 30280
Description: Connectedness in the order topology of a complete uniform totally ordered space. (Contributed by Thierry Arnoux, 15-Sep-2018.)
Hypotheses
Ref Expression
ordtconn.x 𝐵 = (Base‘𝐾)
ordtconn.l = ((le‘𝐾) ∩ (𝐵 × 𝐵))
ordtconn.j 𝐽 = (ordTop‘ )
Assertion
Ref Expression
ordtconn

Proof of Theorem ordtconn
StepHypRef Expression
1 tru 1636 1
Colors of variables: wff setvar class
Syntax hints:   = wceq 1632  wtru 1633  cin 3714   × cxp 5264  cfv 6049  Basecbs 16059  lecple 16150  ordTopcordt 16361
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 197  df-tru 1635
This theorem is referenced by: (None)
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