| Who Cites equiv rel? |
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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:(TTProp). (EquivRel x,y:T. E(x,y)) Prop |
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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:(TTProp). (Trans x,y:T. E(x,y)) Prop |
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sym | Def Sym x,y:T. E(x;y) == a,b:T. E(a;b) E(b;a) |
| | Thm* T:Type, E:(TTProp). (Sym x,y:T. E(x,y)) Prop |
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refl | Def Refl(T;x,y.E(x;y)) == a:T. E(a;a) |
| | Thm* T:Type, E:(TTProp). Refl(T;x,y.E(x,y)) Prop |