| Some definitions of interest. | |
| compose | Def (f o g)(x) == f(g(x)) |
Thm*  A,B,C:Type, f:(B  C), g:(AB). f o g  AC | |
| compose2 | Def (f1,f2) o g(x) == g(x)/x,y. < f1(x),f2(y) > |
Thm* A,B,C,B',C':Type, g:(AB C), f1:(BB'), f2:(CC'). (f1,f2) o g AB'C' | |
| decidable | Def Dec(P) == P   P |
| Thm* A:Prop. Dec(A) Prop | |
| pi1 | Def 1of(t) == t.1 |
| Thm* A:Type, B:(AType), p:(a:AB(a)). 1of(p) A | |
| pi2 | Def 2of(t) == t.2 |
| Thm* A:Type, B:(AType), p:(a:AB(a)). 2of(p) B(1of(p)) | |
| tidentity | Def Id == Id |
| Thm* A:Type. Id AA |
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