- new library/logic/coimplication.ma uses new decompose tactic

[helm.git] / matita / contribs / CoRN-Decl / algebra / Expon.ma

diff --git a/matita/contribs/CoRN-Decl/algebra/Expon.ma b/matita/contribs/CoRN-Decl/algebra/Expon.ma
index 2b1085a7cb867318a6bd6473693f522c2517f409..e8a28b3015e2e80eb5aa598007225087669f71bc 100644 (file)
--- a/matita/contribs/CoRN-Decl/algebra/Expon.ma
+++ b/matita/contribs/CoRN-Decl/algebra/Expon.ma
@@ -16,21 +16,15 @@
 
 set "baseuri" "cic:/matita/CoRN-Decl/algebra/Expon".
 
+include "CoRN.ma".
+
 (* $Id: Expon.v,v 1.5 2004/04/23 10:00:54 lcf Exp $ *)
 
 (*#* printing [^^] %\ensuremath{\hat{\ }}% #^# *)
 
-(* INCLUDE
-Arith
-*)
+include "algebra/COrdCauchy.ma".
 
-(* INCLUDE
-COrdCauchy
-*)
-
-(* INCLUDE
-Transparent_algebra
-*)
+include "tactics/Transparent_algebra.ma".
 
 (*#* *Exponentiation
 **More properties about [nexp]
@@ -39,53 +33,53 @@ Transparent_algebra
 *)
 
 (* UNEXPORTED
-Section More_Nexp.
+Section More_Nexp
 *)
 
-inline cic:/CoRN/algebra/Expon/R.var.
+inline "cic:/CoRN/algebra/Expon/More_Nexp/R.var" "More_Nexp__".
 
-inline cic:/CoRN/algebra/Expon/nexp_resp_ap_zero.con.
+inline "cic:/CoRN/algebra/Expon/nexp_resp_ap_zero.con".
 
 (* UNEXPORTED
 Hint Resolve nexp_resp_ap_zero: algebra.
 *)
 
-inline cic:/CoRN/algebra/Expon/nexp_distr_div.con.
+inline "cic:/CoRN/algebra/Expon/nexp_distr_div.con".
 
-inline cic:/CoRN/algebra/Expon/nexp_distr_div'.con.
+inline "cic:/CoRN/algebra/Expon/nexp_distr_div'.con".
 
-inline cic:/CoRN/algebra/Expon/small_nexp_resp_lt.con.
+inline "cic:/CoRN/algebra/Expon/small_nexp_resp_lt.con".
 
-inline cic:/CoRN/algebra/Expon/great_nexp_resp_lt.con.
+inline "cic:/CoRN/algebra/Expon/great_nexp_resp_lt.con".
 
-inline cic:/CoRN/algebra/Expon/small_nexp_resp_le.con.
+inline "cic:/CoRN/algebra/Expon/small_nexp_resp_le.con".
 
-inline cic:/CoRN/algebra/Expon/great_nexp_resp_le.con.
+inline "cic:/CoRN/algebra/Expon/great_nexp_resp_le.con".
 
-inline cic:/CoRN/algebra/Expon/nexp_resp_leEq.con.
+inline "cic:/CoRN/algebra/Expon/nexp_resp_leEq.con".
 
-inline cic:/CoRN/algebra/Expon/nexp_resp_leEq_one.con.
+inline "cic:/CoRN/algebra/Expon/nexp_resp_leEq_one.con".
 
-inline cic:/CoRN/algebra/Expon/nexp_resp_leEq_neg_even.con.
+inline "cic:/CoRN/algebra/Expon/nexp_resp_leEq_neg_even.con".
 
-inline cic:/CoRN/algebra/Expon/nexp_resp_leEq_neg_odd.con.
+inline "cic:/CoRN/algebra/Expon/nexp_resp_leEq_neg_odd.con".
 
-inline cic:/CoRN/algebra/Expon/nexp_distr_recip.con.
+inline "cic:/CoRN/algebra/Expon/nexp_distr_recip.con".
 
 (* UNEXPORTED
 Hint Resolve nexp_distr_recip: algebra.
 *)
 
-inline cic:/CoRN/algebra/Expon/nexp_even_nonneg.con.
+inline "cic:/CoRN/algebra/Expon/nexp_even_nonneg.con".
 
-inline cic:/CoRN/algebra/Expon/nexp_resp_le'.con.
+inline "cic:/CoRN/algebra/Expon/nexp_resp_le'.con".
 
-inline cic:/CoRN/algebra/Expon/nexp_resp_le.con.
+inline "cic:/CoRN/algebra/Expon/nexp_resp_le.con".
 
-inline cic:/CoRN/algebra/Expon/bin_less_un.con.
+inline "cic:/CoRN/algebra/Expon/bin_less_un.con".
 
 (* UNEXPORTED
-End More_Nexp.
+End More_Nexp
 *)
 
 (* UNEXPORTED
@@ -102,165 +96,169 @@ Implicit Arguments nexp_resp_ap_zero [R x].
 *)
 
 (* UNEXPORTED
-Section Zexp_def.
+Section Zexp_def
 *)
 
-inline cic:/CoRN/algebra/Expon/R.var.
+inline "cic:/CoRN/algebra/Expon/Zexp_def/R.var" "Zexp_def__".
 
 (*#*
 It would be nicer to define [zexp] using [caseZdiff], but we already
 have most properties now.
 *)
 
-inline cic:/CoRN/algebra/Expon/zexp.con.
+inline "cic:/CoRN/algebra/Expon/zexp.con".
 
 (* UNEXPORTED
-End Zexp_def.
+End Zexp_def
 *)
 
 (* UNEXPORTED
 Implicit Arguments zexp [R].
 *)
 
+(* NOTATION
+Notation "( x [//] Hx ) [^^] n" := (zexp x Hx n) (at level 0).
+*)
+
 (*#* **Properties of [zexp]
 %\begin{convention}% Let [R] be an ordered field.
 %\end{convention}%
 *)
 
 (* UNEXPORTED
-Section Zexp_properties.
+Section Zexp_properties
 *)
 
-inline cic:/CoRN/algebra/Expon/R.var.
+inline "cic:/CoRN/algebra/Expon/Zexp_properties/R.var" "Zexp_properties__".
 
-inline cic:/CoRN/algebra/Expon/zexp_zero.con.
+inline "cic:/CoRN/algebra/Expon/zexp_zero.con".
 
 (* UNEXPORTED
 Hint Resolve zexp_zero: algebra.
 *)
 
-inline cic:/CoRN/algebra/Expon/zexp_nexp.con.
+inline "cic:/CoRN/algebra/Expon/zexp_nexp.con".
 
 (* UNEXPORTED
 Hint Resolve zexp_nexp: algebra.
 *)
 
-inline cic:/CoRN/algebra/Expon/zexp_inv_nexp.con.
+inline "cic:/CoRN/algebra/Expon/zexp_inv_nexp.con".
 
 (* UNEXPORTED
 Hint Resolve zexp_inv_nexp: algebra.
 *)
 
-inline cic:/CoRN/algebra/Expon/zexp_inv_nexp'.con.
+inline "cic:/CoRN/algebra/Expon/zexp_inv_nexp'.con".
 
 (* UNEXPORTED
 Hint Resolve zexp_inv_nexp': algebra.
 *)
 
-inline cic:/CoRN/algebra/Expon/zexp_strext.con.
+inline "cic:/CoRN/algebra/Expon/zexp_strext.con".
 
-inline cic:/CoRN/algebra/Expon/zexp_wd.con.
+inline "cic:/CoRN/algebra/Expon/zexp_wd.con".
 
 (* UNEXPORTED
 Hint Resolve zexp_wd: algebra_c.
 *)
 
-inline cic:/CoRN/algebra/Expon/zexp_plus1.con.
+inline "cic:/CoRN/algebra/Expon/zexp_plus1.con".
 
 (* UNEXPORTED
 Hint Resolve zexp_plus1: algebra.
 *)
 
-inline cic:/CoRN/algebra/Expon/zexp_resp_ap_zero.con.
+inline "cic:/CoRN/algebra/Expon/zexp_resp_ap_zero.con".
 
 (* UNEXPORTED
 Hint Resolve zexp_resp_ap_zero: algebra.
 *)
 
-inline cic:/CoRN/algebra/Expon/zexp_inv.con.
+inline "cic:/CoRN/algebra/Expon/zexp_inv.con".
 
 (* UNEXPORTED
 Hint Resolve zexp_inv: algebra.
 *)
 
-inline cic:/CoRN/algebra/Expon/zexp_inv1.con.
+inline "cic:/CoRN/algebra/Expon/zexp_inv1.con".
 
 (* UNEXPORTED
 Hint Resolve zexp_inv1: algebra.
 *)
 
-inline cic:/CoRN/algebra/Expon/zexp_plus.con.
+inline "cic:/CoRN/algebra/Expon/zexp_plus.con".
 
 (* UNEXPORTED
 Hint Resolve zexp_plus: algebra.
 *)
 
-inline cic:/CoRN/algebra/Expon/zexp_minus.con.
+inline "cic:/CoRN/algebra/Expon/zexp_minus.con".
 
 (* UNEXPORTED
 Hint Resolve zexp_minus: algebra.
 *)
 
-inline cic:/CoRN/algebra/Expon/one_zexp.con.
+inline "cic:/CoRN/algebra/Expon/one_zexp.con".
 
 (* UNEXPORTED
 Hint Resolve one_zexp: algebra.
 *)
 
-inline cic:/CoRN/algebra/Expon/mult_zexp.con.
+inline "cic:/CoRN/algebra/Expon/mult_zexp.con".
 
 (* UNEXPORTED
 Hint Resolve mult_zexp: algebra.
 *)
 
-inline cic:/CoRN/algebra/Expon/zexp_mult.con.
+inline "cic:/CoRN/algebra/Expon/zexp_mult.con".
 
 (* UNEXPORTED
 Hint Resolve zexp_mult: algebra.
 *)
 
-inline cic:/CoRN/algebra/Expon/zexp_two.con.
+inline "cic:/CoRN/algebra/Expon/zexp_two.con".
 
 (* UNEXPORTED
 Hint Resolve zexp_two: algebra.
 *)
 
-inline cic:/CoRN/algebra/Expon/inv_zexp_even.con.
+inline "cic:/CoRN/algebra/Expon/inv_zexp_even.con".
 
 (* UNEXPORTED
 Hint Resolve inv_zexp_even: algebra.
 *)
 
-inline cic:/CoRN/algebra/Expon/inv_zexp_two.con.
+inline "cic:/CoRN/algebra/Expon/inv_zexp_two.con".
 
 (* UNEXPORTED
 Hint Resolve inv_zexp_two: algebra.
 *)
 
-inline cic:/CoRN/algebra/Expon/inv_zexp_odd.con.
+inline "cic:/CoRN/algebra/Expon/inv_zexp_odd.con".
 
-inline cic:/CoRN/algebra/Expon/zexp_one.con.
+inline "cic:/CoRN/algebra/Expon/zexp_one.con".
 
 (* UNEXPORTED
 Hint Resolve zexp_one: algebra.
 *)
 
-inline cic:/CoRN/algebra/Expon/zexp_funny.con.
+inline "cic:/CoRN/algebra/Expon/zexp_funny.con".
 
 (* UNEXPORTED
 Hint Resolve zexp_funny: algebra.
 *)
 
-inline cic:/CoRN/algebra/Expon/zexp_funny'.con.
+inline "cic:/CoRN/algebra/Expon/zexp_funny'.con".
 
 (* UNEXPORTED
 Hint Resolve zexp_funny': algebra.
 *)
 
-inline cic:/CoRN/algebra/Expon/zexp_pos.con.
+inline "cic:/CoRN/algebra/Expon/zexp_pos.con".
 
 (* UNEXPORTED
-End Zexp_properties.
+End Zexp_properties
 *)
 
 (* UNEXPORTED
@@ -275,16 +273,16 @@ Hint Resolve zexp_wd: algebra_c.
 *)
 
 (* UNEXPORTED
-Section Root_Unique.
+Section Root_Unique
 *)
 
-inline cic:/CoRN/algebra/Expon/R.var.
+inline "cic:/CoRN/algebra/Expon/Root_Unique/R.var" "Root_Unique__".
 
-inline cic:/CoRN/algebra/Expon/root_unique.con.
+inline "cic:/CoRN/algebra/Expon/root_unique.con".
 
-inline cic:/CoRN/algebra/Expon/root_one.con.
+inline "cic:/CoRN/algebra/Expon/root_one.con".
 
 (* UNEXPORTED
-End Root_Unique.
+End Root_Unique
 *)