} == {k:
| i 
k < j }
m,n:. {m..n} 
TypeB == 
B<Ai,j:. (ij) Prop
j == if i<j
true ; false fii,j:. (i<j) 
a,b,c:T. E(a;b) 
E(b;c) E(a;c)T:Type, E:(T
TProp). (Trans x,y:T. E(x;y)) Prop| Some definitions of interest. | |
| int_seg | } == {k:| i k < j } |
| m,n:. {m..n} Type | |
| le | B == B<A |
| i,j:. (ij) Prop | |
| lt_int | j == if i<j true ; false fi |
| i,j:. (i<j) | |
| trans | a,b,c:T. E(a;b) E(b;c) E(a;c) |
| T:Type, E:(TTProp). (Trans x,y:T. E(x;y)) Prop |
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