is mentioned by

Thm* R:(TTProp).  Thm* (a,b:T. Dec(R(a,b))) Thm*  Thm* (Connex(T;x,y.R(x,y)) Thm* ( Thm* ((a,b:T. Thm* ((strict_part(x,y.R(x,y);a;b) Thm* (( Symmetrize(x,y.R(x,y);a;b) Thm* (( strict_part(x,y.R(x,y);b;a)))	[connex_iff_trichot]
Thm* R:(TTProp).  Thm* (Trans x,y:T. R(x,y)) Thm*  Thm* (a,a',b,b':T. Thm* (Symmetrize(x,y.R(x,y);a;b) Thm* ( Thm* (Symmetrize(x,y.R(x,y);a';b')  (R(a,a')  R(b,b')))	[trans_rel_func_wrt_sym_self]
Thm* R:(TTProp).  Thm* Preorder(T;x,y.R(x,y))  (EquivRel a,b:T. Symmetrize(x,y.R(x,y);a;b))	[symmetrized_preorder]

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