1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 (* This file was automatically generated: do not edit *********************)
17 set "baseuri" "cic:/matita/CoRN-Decl/devel/loeb/per/csetfun".
27 inline cic:/CoRN/devel/loeb/per/csetfun/ap_fun.con.
29 inline cic:/CoRN/devel/loeb/per/csetfun/eq_fun.con.
31 inline cic:/CoRN/devel/loeb/per/csetfun/irrefl_apfun.con.
33 inline cic:/CoRN/devel/loeb/per/csetfun/cotrans_apfun.con.
35 inline cic:/CoRN/devel/loeb/per/csetfun/ta_apfun.con.
37 inline cic:/CoRN/devel/loeb/per/csetfun/sym_apfun.con.
39 inline cic:/CoRN/devel/loeb/per/csetfun/FS_is_CSetoid.con.
41 inline cic:/CoRN/devel/loeb/per/csetfun/FS_as_CSetoid.con.
47 inline cic:/CoRN/devel/loeb/per/csetfun/comp.con.
49 inline cic:/CoRN/devel/loeb/per/csetfun/comp_as_bin_op.con.
51 inline cic:/CoRN/devel/loeb/per/csetfun/assoc_comp.con.
57 inline cic:/CoRN/devel/loeb/per/csetfun/FS_as_CSemiGroup.con.
63 inline cic:/CoRN/devel/loeb/per/csetfun/FS_id.con.
65 inline cic:/CoRN/devel/loeb/per/csetfun/id_is_rht_unit.con.
67 inline cic:/CoRN/devel/loeb/per/csetfun/id_is_lft_unit.con.
69 inline cic:/CoRN/devel/loeb/per/csetfun/FS_is_CMonoid.con.
71 inline cic:/CoRN/devel/loeb/per/csetfun/FS_as_CMonoid.con.
73 inline cic:/CoRN/devel/loeb/per/csetfun/PS_as_CMonoid.con.
79 inline cic:/CoRN/devel/loeb/per/csetfun/Inv_is_bij.con.
82 forall (A B : CSetoid) (f : CSetoid_fun A B) (H : bijective f),
86 unfold fun_strext in |- *.
88 unfold bijective in |- *.
92 unfold injective in |- *.
93 unfold surjective in |- *.
98 unfold invfun in |- *.
100 unfold sigT_rect in |- *.
115 unfold invfun in |- *.
117 unfold sigT_rect in |- *.
128 set (H4 := H0 x b H3) in *.
129 set (H6 := ap_imp_neq B (f0 x) (f0 b) H4) in *.
133 inline cic:/CoRN/devel/loeb/per/csetfun/PS_Inv.con.
135 inline cic:/CoRN/devel/loeb/per/csetfun/Inv_as_un_op.con.
137 inline cic:/CoRN/devel/loeb/per/csetfun/PS_is_CGroup.con.
139 inline cic:/CoRN/devel/loeb/per/csetfun/PS_as_CGroup.con.
141 (* In het algemeen niet Abels! *)