Procedural: explicit flavour specification for constants is now working

[helm.git] / helm / software / matita / contribs / CoRN-Procedural / reals / CauchySeq.mma

diff --git a/helm/software/matita/contribs/CoRN-Procedural/reals/CauchySeq.mma b/helm/software/matita/contribs/CoRN-Procedural/reals/CauchySeq.mma
index f6dbff62d53c2187f8f63bc2db304ef8d7d8f14a..16e97d931147c8492bbbf48421843c0aa88c285e 100644 (file)
--- a/helm/software/matita/contribs/CoRN-Procedural/reals/CauchySeq.mma
+++ b/helm/software/matita/contribs/CoRN-Procedural/reals/CauchySeq.mma
@@ -75,21 +75,21 @@ Section CReals_axioms
 
 (*#* ** [CReals] axioms *)
 
-inline procedural "cic:/CoRN/reals/CauchySeq/CReals_is_CReals.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/CReals_is_CReals.con" as lemma.
 
 (*#* First properties which follow trivially from the axioms.  *)
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Lim_Cauchy.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Lim_Cauchy.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Archimedes.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Archimedes.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Archimedes'.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Archimedes'.con" as lemma.
 
 (*#* A stronger version, which often comes in useful.  *)
 
-inline procedural "cic:/CoRN/reals/CauchySeq/str_Archimedes.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/str_Archimedes.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/CauchySeqR.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/CauchySeqR.con" as definition.
 
 (* UNEXPORTED
 End CReals_axioms
@@ -152,19 +152,19 @@ and [[<=]] being a negative statement, this makes proofs
 sometimes easier and program extraction much more efficient.
 *)
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_prop1.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_prop1.con" as definition.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_Lim_prop2.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_Lim_prop2.con" as definition.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_prop2.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_prop2.con" as definition.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_Lim_prop3.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_Lim_prop3.con" as definition.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_prop3.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_prop3.con" as definition.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_Lim_prop4.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_Lim_prop4.con" as definition.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_prop4.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_prop4.con" as definition.
 
 (* UNEXPORTED
 End Cauchy_Defs
@@ -178,39 +178,39 @@ Section Inequalities
 
 The next lemma is equal to lemma [Lim_Cauchy].  *)
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_complete.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_complete.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/less_Lim_so_less_seq.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/less_Lim_so_less_seq.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Lim_less_so_seq_less.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Lim_less_so_seq_less.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Lim_less_Lim_so_seq_less_seq.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Lim_less_Lim_so_seq_less_seq.con" as lemma.
 
 (*#* The next lemma follows from [less_Lim_so_less_seq] with [y := (y[+] (Lim seq)) [/]TwoNZ].  *)
 
-inline procedural "cic:/CoRN/reals/CauchySeq/less_Lim_so.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/less_Lim_so.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Lim_less_so.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Lim_less_so.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/leEq_seq_so_leEq_Lim.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/leEq_seq_so_leEq_Lim.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/str_leEq_seq_so_leEq_Lim.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/str_leEq_seq_so_leEq_Lim.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Lim_leEq_Lim.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Lim_leEq_Lim.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/seq_leEq_so_Lim_leEq.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/seq_leEq_so_Lim_leEq.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/str_seq_leEq_so_Lim_leEq.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/str_seq_leEq_so_Lim_leEq.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Limits_unique.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Limits_unique.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Lim_wd.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Lim_wd.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Lim_strext.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Lim_strext.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Lim_ap_imp_seq_ap.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Lim_ap_imp_seq_ap.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Lim_ap_imp_seq_ap'.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Lim_ap_imp_seq_ap'.con" as lemma.
 
 (* UNEXPORTED
 End Inequalities
@@ -222,47 +222,47 @@ Section Equiv_Cauchy
 
 (*#* *** Equivalence of formulations of Cauchy *)
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_prop1_prop.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_prop1_prop.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_prop2_prop.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_prop2_prop.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_Lim_prop3_prop2.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_Lim_prop3_prop2.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_prop3_prop2.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_prop3_prop2.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_prop3_prop.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_prop3_prop.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Build_CauchySeq1.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Build_CauchySeq1.con" as definition.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_Lim_prop4_prop3.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_Lim_prop4_prop3.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_Lim_prop4_prop2.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_Lim_prop4_prop2.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_prop4_prop3.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_prop4_prop3.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_prop4_prop.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_prop4_prop.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Build_CauchySeq4.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Build_CauchySeq4.con" as definition.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Build_CauchySeq4_y.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Build_CauchySeq4_y.con" as definition.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Lim_CauchySeq4.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Lim_CauchySeq4.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Build_CauchySeq2.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Build_CauchySeq2.con" as definition.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Build_CauchySeq2_y.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Build_CauchySeq2_y.con" as definition.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Lim_CauchySeq2.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Lim_CauchySeq2.con" as lemma.
 
 (*#* Well definedness. *)
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_prop_wd.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_prop_wd.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_Lim_prop2_wd.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_Lim_prop2_wd.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Lim_wd'.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Lim_wd'.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Lim_unique.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Lim_unique.con" as lemma.
 
 (* UNEXPORTED
 End Equiv_Cauchy
@@ -279,33 +279,33 @@ Some of these lemmas are now obsolete, because they were reproved for arbitrary
 We begin by defining the constant sequence and proving that it is Cauchy with the expected limit.
 *)
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_const.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_const.con" as definition.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Lim_const.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Lim_const.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_Lim_plus.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_Lim_plus.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_plus.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_plus.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Lim_plus.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Lim_plus.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_Lim_inv.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_Lim_inv.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_inv.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_inv.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Lim_inv.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Lim_inv.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_Lim_minus.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_Lim_minus.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_minus.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_minus.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Lim_minus.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Lim_minus.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_Lim_mult.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_Lim_mult.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_mult.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Cauchy_mult.con" as lemma.
 
-inline procedural "cic:/CoRN/reals/CauchySeq/Lim_mult.con".
+inline procedural "cic:/CoRN/reals/CauchySeq/Lim_mult.con" as lemma.
 
 (* UNEXPORTED
 End Cauchy_props