| Some definitions of interest. |
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iff | Def P  Q == (P  Q) & (P  Q) |
| | Thm* A,B:Prop. (A  B) Prop |
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symmetrize | Def Symmetrize(x,y.R(x;y);a;b) == R(a;b) & R(b;a) |
| | Thm* T:Type{j}, R:(T T Prop{i}), a,b:T. Symmetrize(x,y.R(x,y);a;b) Prop{i} |
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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:(T T Prop). (Trans x,y:T. E(x,y)) Prop |