(* This comes from CReals1.v *)
-inline procedural "cic:/CoRN/reals/R_morphism/Cauchy_Lim_prop2.con".
+inline procedural "cic:/CoRN/reals/R_morphism/Cauchy_Lim_prop2.con" as definition.
(* UNEXPORTED
Section morphism
alias id "g2" = "cic:/CoRN/reals/R_morphism/morphism/morphism_details/g2.var".
-inline procedural "cic:/CoRN/reals/R_morphism/fun_pres_relation.con".
+inline procedural "cic:/CoRN/reals/R_morphism/fun_pres_relation.con" as definition.
-inline procedural "cic:/CoRN/reals/R_morphism/fun_pres_un_fun.con".
+inline procedural "cic:/CoRN/reals/R_morphism/fun_pres_un_fun.con" as definition.
-inline procedural "cic:/CoRN/reals/R_morphism/fun_pres_bin_fun.con".
+inline procedural "cic:/CoRN/reals/R_morphism/fun_pres_bin_fun.con" as definition.
(*
Definition fun_pres_partial_fun:=(x:R1;H1:x[#]Zero;H2:(phi x)[#]Zero)
(phi (nzinj R1 (i1 (nzpro R1 x H1))))[=](nzinj R2 (i2 (nzpro R2 (phi x) H2))).
*)
-inline procedural "cic:/CoRN/reals/R_morphism/fun_pres_Lim.con".
+inline procedural "cic:/CoRN/reals/R_morphism/fun_pres_Lim.con" as definition.
(* UNEXPORTED
End morphism_details
).
*****************)
-inline procedural "cic:/CoRN/reals/R_morphism/map_strext_unfolded.con".
+inline procedural "cic:/CoRN/reals/R_morphism/map_strext_unfolded.con" as lemma.
-inline procedural "cic:/CoRN/reals/R_morphism/map_wd_unfolded.con".
+inline procedural "cic:/CoRN/reals/R_morphism/map_wd_unfolded.con" as lemma.
-inline procedural "cic:/CoRN/reals/R_morphism/map_pres_less_unfolded.con".
+inline procedural "cic:/CoRN/reals/R_morphism/map_pres_less_unfolded.con" as lemma.
-inline procedural "cic:/CoRN/reals/R_morphism/map_pres_plus_unfolded.con".
+inline procedural "cic:/CoRN/reals/R_morphism/map_pres_plus_unfolded.con" as lemma.
-inline procedural "cic:/CoRN/reals/R_morphism/map_pres_mult_unfolded.con".
+inline procedural "cic:/CoRN/reals/R_morphism/map_pres_mult_unfolded.con" as lemma.
(* Now we start to derive some useful properties of a Homomorphism *)
-inline procedural "cic:/CoRN/reals/R_morphism/map_pres_zero.con".
+inline procedural "cic:/CoRN/reals/R_morphism/map_pres_zero.con" as lemma.
-inline procedural "cic:/CoRN/reals/R_morphism/map_pres_zero_unfolded.con".
+inline procedural "cic:/CoRN/reals/R_morphism/map_pres_zero_unfolded.con" as lemma.
-inline procedural "cic:/CoRN/reals/R_morphism/map_pres_minus.con".
+inline procedural "cic:/CoRN/reals/R_morphism/map_pres_minus.con" as lemma.
-inline procedural "cic:/CoRN/reals/R_morphism/map_pres_minus_unfolded.con".
+inline procedural "cic:/CoRN/reals/R_morphism/map_pres_minus_unfolded.con" as lemma.
-inline procedural "cic:/CoRN/reals/R_morphism/map_pres_apartness.con".
+inline procedural "cic:/CoRN/reals/R_morphism/map_pres_apartness.con" as lemma.
(* Merely a useful special case *)
-inline procedural "cic:/CoRN/reals/R_morphism/map_pres_ap_zero.con".
+inline procedural "cic:/CoRN/reals/R_morphism/map_pres_ap_zero.con" as lemma.
-inline procedural "cic:/CoRN/reals/R_morphism/map_pres_one.con".
+inline procedural "cic:/CoRN/reals/R_morphism/map_pres_one.con" as lemma.
-inline procedural "cic:/CoRN/reals/R_morphism/map_pres_one_unfolded.con".
+inline procedural "cic:/CoRN/reals/R_morphism/map_pres_one_unfolded.con" as lemma.
(* I will not use the following lemma *)
-inline procedural "cic:/CoRN/reals/R_morphism/map_pres_inv_unfolded.con".
+inline procedural "cic:/CoRN/reals/R_morphism/map_pres_inv_unfolded.con" as lemma.
(* UNEXPORTED
End morphism
alias id "g" = "cic:/CoRN/reals/R_morphism/composition/g.var".
-inline procedural "cic:/CoRN/reals/R_morphism/compose.con".
+inline procedural "cic:/CoRN/reals/R_morphism/compose.con" as definition.
-inline procedural "cic:/CoRN/reals/R_morphism/compose_strext.con".
+inline procedural "cic:/CoRN/reals/R_morphism/compose_strext.con" as lemma.
-inline procedural "cic:/CoRN/reals/R_morphism/compose_pres_less.con".
+inline procedural "cic:/CoRN/reals/R_morphism/compose_pres_less.con" as lemma.
-inline procedural "cic:/CoRN/reals/R_morphism/compose_pres_plus.con".
+inline procedural "cic:/CoRN/reals/R_morphism/compose_pres_plus.con" as lemma.
-inline procedural "cic:/CoRN/reals/R_morphism/compose_pres_mult.con".
+inline procedural "cic:/CoRN/reals/R_morphism/compose_pres_mult.con" as lemma.
-inline procedural "cic:/CoRN/reals/R_morphism/compose_pres_Lim.con".
+inline procedural "cic:/CoRN/reals/R_morphism/compose_pres_Lim.con" as lemma.
-inline procedural "cic:/CoRN/reals/R_morphism/Compose.con".
+inline procedural "cic:/CoRN/reals/R_morphism/Compose.con" as definition.
(* UNEXPORTED
End composition
alias id "f" = "cic:/CoRN/reals/R_morphism/isomorphism/identity_map/f.var".
-inline procedural "cic:/CoRN/reals/R_morphism/map_is_id.con".
+inline procedural "cic:/CoRN/reals/R_morphism/map_is_id.con" as definition.
(* UNEXPORTED
End identity_map
alias id "f" = "cic:/CoRN/reals/R_morphism/surjective_map/f.var".
-inline procedural "cic:/CoRN/reals/R_morphism/map_is_surjective.con".
+inline procedural "cic:/CoRN/reals/R_morphism/map_is_surjective.con" as definition.
(* UNEXPORTED
End surjective_map
alias id "H1" = "cic:/CoRN/reals/R_morphism/simplification/H1.var".
-inline procedural "cic:/CoRN/reals/R_morphism/f_well_def.con".
+inline procedural "cic:/CoRN/reals/R_morphism/f_well_def.con" as lemma.
(* UNEXPORTED
Section with_less
alias id "H2" = "cic:/CoRN/reals/R_morphism/simplification/with_less/H2.var".
-inline procedural "cic:/CoRN/reals/R_morphism/less_pres_f.con".
+inline procedural "cic:/CoRN/reals/R_morphism/less_pres_f.con" as lemma.
-inline procedural "cic:/CoRN/reals/R_morphism/leEq_pres_f.con".
+inline procedural "cic:/CoRN/reals/R_morphism/leEq_pres_f.con" as lemma.
-inline procedural "cic:/CoRN/reals/R_morphism/f_pres_leEq.con".
+inline procedural "cic:/CoRN/reals/R_morphism/f_pres_leEq.con" as lemma.
-inline procedural "cic:/CoRN/reals/R_morphism/f_pres_apartness.con".
+inline procedural "cic:/CoRN/reals/R_morphism/f_pres_apartness.con" as lemma.
(* UNEXPORTED
End with_less
alias id "H3" = "cic:/CoRN/reals/R_morphism/simplification/with_plus/H3.var".
-inline procedural "cic:/CoRN/reals/R_morphism/f_pres_Zero.con".
+inline procedural "cic:/CoRN/reals/R_morphism/f_pres_Zero.con" as lemma.
-inline procedural "cic:/CoRN/reals/R_morphism/f_pres_minus.con".
+inline procedural "cic:/CoRN/reals/R_morphism/f_pres_minus.con" as lemma.
-inline procedural "cic:/CoRN/reals/R_morphism/f_pres_min.con".
+inline procedural "cic:/CoRN/reals/R_morphism/f_pres_min.con" as lemma.
(* UNEXPORTED
End with_plus
alias id "H3" = "cic:/CoRN/reals/R_morphism/simplification/with_plus_less/H3.var".
-inline procedural "cic:/CoRN/reals/R_morphism/f_pres_ap_zero.con".
+inline procedural "cic:/CoRN/reals/R_morphism/f_pres_ap_zero.con" as lemma.
(* UNEXPORTED
Section surjectivity_helps
alias id "f_surj" = "cic:/CoRN/reals/R_morphism/simplification/with_plus_less/surjectivity_helps/f_surj.var".
-inline procedural "cic:/CoRN/reals/R_morphism/f_pres_Lim.con".
+inline procedural "cic:/CoRN/reals/R_morphism/f_pres_Lim.con" as lemma.
(* UNEXPORTED
End surjectivity_helps
alias id "H4" = "cic:/CoRN/reals/R_morphism/simplification/with_plus_less/with_mult_plus_less/H4.var".
-inline procedural "cic:/CoRN/reals/R_morphism/f_pres_one.con".
+inline procedural "cic:/CoRN/reals/R_morphism/f_pres_one.con" as lemma.
-inline procedural "cic:/CoRN/reals/R_morphism/f_pres_inv.con".
+inline procedural "cic:/CoRN/reals/R_morphism/f_pres_inv.con" as lemma.
-inline procedural "cic:/CoRN/reals/R_morphism/simplified_Homomorphism.con".
+inline procedural "cic:/CoRN/reals/R_morphism/simplified_Homomorphism.con" as definition.
(* UNEXPORTED
End with_mult_plus_less