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At: linorder lt neg

  T:Type, R:(TTProp).
  (x,y:T. Dec(R(x,y)))
  
  Linorder(T;x,y.R(x,y))  (a,b:Tstrict_part(x,y.R(x,y);a;b R(b,a))


By: RepD THEN ARepD ["compound";"basic"] THEN Unfold `strict_part` 0


Generated subgoal:

1 1. T : Type
2. R : TTProp
3. x,y:T. Dec(R(x,y))
4. a:TR(a,a)
5. a,b,c:TR(a,b R(b,c R(a,c)
6. x,y:TR(x,y R(y,x x = y
7. x,y:TR(x,y R(y,x)
8. a : T
9. b : T
  (R(a,b) & R(b,a))  R(b,a)

1 step

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decidablefunctionuniversepropimpliesandall
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