| Who Cites order? | |
| order | Def Order(T;x,y.R(x;y)) == Refl(T;x,y.R(x;y)) & (Trans x,y:T. R(x;y)) & AntiSym(T;x,y.R(x;y)) |
Thm*  T:Type, R:(T  TProp). Order(T;x,y.R(x,y))  Prop | |
| anti_sym | Def AntiSym(T;x,y.R(x;y)) == x,y:T. R(x;y)   R(y;x) x = y |
| Thm* T:Type, R:(TTProp). AntiSym(T;x,y.R(x,y)) Prop | |
| trans | Def Trans x,y:T. E(x;y) == a,b,c:T. E(a;b) E(b;c) E(a;c) |
| Thm* T:Type, E:(TTProp). (Trans x,y:T. E(x,y)) Prop | |
| refl | Def Refl(T;x,y.E(x;y)) == a:T. E(a;a) |
| Thm* T:Type, E:(TTProp). Refl(T;x,y.E(x,y)) Prop |
| Syntax: | Order(T;x,y.R(x;y)) | has structure: | order(T; x,y.R(x;y)) |
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