| Some definitions of interest. |
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equiv_rel | Def EquivRel x,y:T. E(x;y)
Def == Refl(T;x,y.E(x;y)) & (Sym x,y:T. E(x;y)) & (Trans x,y:T. E(x;y)) |
| | Thm* T:Type, E:(T T Prop). (EquivRel x,y:T. E(x,y)) Prop |
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nat | Def == {i: | 0 i } |
| | Thm* Type |
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rel_exp | Def R^n == if n= 0 x,y. x = y T else x,y. z:T. (x R z) & (z R^n-1 y) fi
Def (recursive) |
| | Thm* n: , T:Type, R:(T T Prop). R^n T T Prop |