| Some definitions of interest. |
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rel_star | Def (R^*)(x,y) == n: . x R^n y |
| | Thm* T:Type, R:(T T Prop). (R^*) T T 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 |
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rel_inverse | Def R^-1(x,y) == y R x |
| | Thm* T1,T2:Type, R:(T1 T2 Prop). R^-1 T2 T1 Prop |