X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FCoRN-Decl%2Ftransc%2FTrigMon.ma;h=a806584387d0acab95fd1cec78b8c968d8e3e5f5;hb=5431da8145e4a84596d312fc02b552881d119100;hp=fd527af54a22b820d0e760efe8fd860d0e721411;hpb=3199f2a8428b5d19a3a803c1b03d9f90e4120f74;p=helm.git diff --git a/helm/software/matita/contribs/CoRN-Decl/transc/TrigMon.ma b/helm/software/matita/contribs/CoRN-Decl/transc/TrigMon.ma index fd527af54..a80658438 100644 --- a/helm/software/matita/contribs/CoRN-Decl/transc/TrigMon.ma +++ b/helm/software/matita/contribs/CoRN-Decl/transc/TrigMon.ma @@ -16,11 +16,11 @@ set "baseuri" "cic:/matita/CoRN-Decl/transc/TrigMon". +include "CoRN.ma". + (* $Id: TrigMon.v,v 1.9 2004/04/23 10:01:08 lcf Exp $ *) -(* INCLUDE -Pi -*) +include "transc/Pi.ma". (* UNEXPORTED Opaque Sine Cosine. @@ -32,45 +32,45 @@ $(-\frac{\pi}2,\frac{\pi}2)$#(-π/2,π/2)#, sine in $(0,\pi)$#(0,π)# and tangent in $(0,\frac{\pi}2)$#0,π/2)#. *) -inline cic:/CoRN/transc/TrigMon/Cos_pos.con. +inline "cic:/CoRN/transc/TrigMon/Cos_pos.con". -inline cic:/CoRN/transc/TrigMon/Sin_pos.con. +inline "cic:/CoRN/transc/TrigMon/Sin_pos.con". -inline cic:/CoRN/transc/TrigMon/Tan_pos.con. +inline "cic:/CoRN/transc/TrigMon/Tan_pos.con". -inline cic:/CoRN/transc/TrigMon/Cos_nonneg.con. +inline "cic:/CoRN/transc/TrigMon/Cos_nonneg.con". -inline cic:/CoRN/transc/TrigMon/Sin_nonneg.con. +inline "cic:/CoRN/transc/TrigMon/Sin_nonneg.con". (*#* Consequences. *) -inline cic:/CoRN/transc/TrigMon/Abs_Sin_less_One.con. +inline "cic:/CoRN/transc/TrigMon/Abs_Sin_less_One.con". -inline cic:/CoRN/transc/TrigMon/Abs_Cos_less_One.con. +inline "cic:/CoRN/transc/TrigMon/Abs_Cos_less_One.con". (*#* Sine is (strictly) increasing in [[ [--]Pi[/]Two,Pi[/]Two]]; cosine is (strictly) decreasing in [[Zero,Pi]]. *) -inline cic:/CoRN/transc/TrigMon/Sin_resp_leEq.con. +inline "cic:/CoRN/transc/TrigMon/Sin_resp_leEq.con". -inline cic:/CoRN/transc/TrigMon/Cos_resp_leEq.con. +inline "cic:/CoRN/transc/TrigMon/Cos_resp_leEq.con". (* begin hide *) -inline cic:/CoRN/transc/TrigMon/Cos_resp_less_aux.con. +inline "cic:/CoRN/transc/TrigMon/Cos_resp_less_aux.con". -inline cic:/CoRN/transc/TrigMon/Cos_resp_less_aux'.con. +inline "cic:/CoRN/transc/TrigMon/Cos_resp_less_aux'.con". (* end hide *) -inline cic:/CoRN/transc/TrigMon/Cos_resp_less.con. +inline "cic:/CoRN/transc/TrigMon/Cos_resp_less.con". -inline cic:/CoRN/transc/TrigMon/Sin_resp_less.con. +inline "cic:/CoRN/transc/TrigMon/Sin_resp_less.con". (* UNEXPORTED -Section Tangent. +Section Tangent *) (*#* **Derivative of Tangent @@ -79,22 +79,22 @@ Finally, two formulas for the derivative of the tangent function and monotonicity properties. *) -inline cic:/CoRN/transc/TrigMon/bnd_Cos.con. +inline "cic:/CoRN/transc/TrigMon/bnd_Cos.con". (* UNEXPORTED Opaque Sine Cosine. *) -inline cic:/CoRN/transc/TrigMon/Derivative_Tan_1.con. +inline "cic:/CoRN/transc/TrigMon/Derivative_Tan_1.con". -inline cic:/CoRN/transc/TrigMon/Derivative_Tan_2.con. +inline "cic:/CoRN/transc/TrigMon/Derivative_Tan_2.con". -inline cic:/CoRN/transc/TrigMon/Tan_resp_less.con. +inline "cic:/CoRN/transc/TrigMon/Tan_resp_less.con". -inline cic:/CoRN/transc/TrigMon/Tan_resp_leEq.con. +inline "cic:/CoRN/transc/TrigMon/Tan_resp_leEq.con". (* UNEXPORTED -End Tangent. +End Tangent *) (* UNEXPORTED