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Step * 1 of Lemma omon_properties


1. g : AbMon
2. [%1] : UniformLinorder(|g|;x,y.↑(x ≤b y)) ∧ (=b = (λx,y. ((x ≤b y) ∧b (y ≤b x))) ∈ (|g| ⟶ |g| ⟶ 𝔹))
⊢ SqStable(UniformLinorder(|g|;x,y.↑(x ≤b y)))
BY
{ RepUnfolds ``uorder ulinorder`` 0 THEN Auto⋅ }

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Latex:

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Latex:

1.  g  :  AbMon
2.  [\%1]  :  UniformLinorder(|g|;x,y.\muparrow{}(x  \mleq{}\msubb{}  y))  \mwedge{}  (=\msubb{}  =  (\mlambda{}x,y.  ((x  \mleq{}\msubb{}  y)  \mwedge{}\msubb{}  (y  \mleq{}\msubb{}  x))))
\mvdash{}  SqStable(UniformLinorder(|g|;x,y.\muparrow{}(x  \mleq{}\msubb{}  y)))


By

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Latex:
RepUnfolds  ``uorder  ulinorder``  0  THEN  Auto\mcdot{}

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