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NOTE: EquivRel(A)(R(_1;_2)) is alpha-equivalent to EquivRel x,y:A. R(x;y).
Who Cites equiv rel?
equiv_relDef EquivRel x,y:T. E(x;y) == 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
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
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
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

Syntax:EquivRel x,y:T. E(x;y) has structure: equiv_rel(T; x,y.E(x;y))

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WhoCites Definitions MarkB generic Sections NuprlLIB Doc