X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FCoRN-Decl%2Ftransc%2FTrigonometric.ma;h=b4f59a9a8d9ac15ef229640ed9c1e5b8ce0b054d;hb=b7aefa8f362d07bf9042f6879252345e69da07c8;hp=3498c20a84646c654bb8108a9cdb780e2fe423e7;hpb=3199f2a8428b5d19a3a803c1b03d9f90e4120f74;p=helm.git diff --git a/helm/software/matita/contribs/CoRN-Decl/transc/Trigonometric.ma b/helm/software/matita/contribs/CoRN-Decl/transc/Trigonometric.ma index 3498c20a8..b4f59a9a8 100644 --- a/helm/software/matita/contribs/CoRN-Decl/transc/Trigonometric.ma +++ b/helm/software/matita/contribs/CoRN-Decl/transc/Trigonometric.ma @@ -16,11 +16,11 @@ set "baseuri" "cic:/matita/CoRN-Decl/transc/Trigonometric". +include "CoRN.ma". + (* $Id: Trigonometric.v,v 1.5 2004/04/23 10:01:08 lcf Exp $ *) -(* INCLUDE -TaylorSeries -*) +include "transc/TaylorSeries.ma". (*#* *The Trigonometric Functions @@ -28,26 +28,26 @@ In this section, we explore the properties of the trigonometric functions which *) (* UNEXPORTED -Section Lemmas. +Section Lemmas *) (*#* First, we need a lemma on mappings. *) -inline cic:/CoRN/transc/Trigonometric/maps_translation.con. +inline "cic:/CoRN/transc/Trigonometric/maps_translation.con". (* UNEXPORTED -End Lemmas. +End Lemmas *) (* UNEXPORTED -Section Sine_and_Cosine. +Section Sine_and_Cosine *) (*#* Sine, cosine and tangent at [Zero]. *) -inline cic:/CoRN/transc/Trigonometric/Sin_zero.con. +inline "cic:/CoRN/transc/Trigonometric/Sin_zero.con". -inline cic:/CoRN/transc/Trigonometric/Cos_zero.con. +inline "cic:/CoRN/transc/Trigonometric/Cos_zero.con". (* UNEXPORTED Hint Resolve Sin_zero Cos_zero: algebra. @@ -57,7 +57,7 @@ Hint Resolve Sin_zero Cos_zero: algebra. Opaque Sine Cosine. *) -inline cic:/CoRN/transc/Trigonometric/Tan_zero.con. +inline "cic:/CoRN/transc/Trigonometric/Tan_zero.con". (* UNEXPORTED Transparent Sine Cosine. @@ -67,21 +67,21 @@ Transparent Sine Cosine. Continuity of sine and cosine are trivial. *) -inline cic:/CoRN/transc/Trigonometric/Continuous_Sin.con. +inline "cic:/CoRN/transc/Trigonometric/Continuous_Sin.con". -inline cic:/CoRN/transc/Trigonometric/Continuous_Cos.con. +inline "cic:/CoRN/transc/Trigonometric/Continuous_Cos.con". (*#* The rules for the derivative of the sine and cosine function; we begin by proving that their defining sequences can be expressed in terms of one another. *) -inline cic:/CoRN/transc/Trigonometric/cos_sin_seq.con. +inline "cic:/CoRN/transc/Trigonometric/cos_sin_seq.con". -inline cic:/CoRN/transc/Trigonometric/sin_cos_seq.con. +inline "cic:/CoRN/transc/Trigonometric/sin_cos_seq.con". -inline cic:/CoRN/transc/Trigonometric/Derivative_Sin.con. +inline "cic:/CoRN/transc/Trigonometric/Derivative_Sin.con". -inline cic:/CoRN/transc/Trigonometric/Derivative_Cos.con. +inline "cic:/CoRN/transc/Trigonometric/Derivative_Cos.con". (* UNEXPORTED Hint Resolve Derivative_Sin Derivative_Cos: derivate. @@ -92,7 +92,7 @@ Hint Resolve Continuous_Sin Continuous_Cos: continuous. *) (* UNEXPORTED -Section Sine_of_Sum. +Section Sine_of_Sum *) (*#* @@ -110,13 +110,13 @@ situations). (* begin hide *) -inline cic:/CoRN/transc/Trigonometric/F.con. +inline "cic:/CoRN/transc/Trigonometric/Sine_and_Cosine/Sine_of_Sum/F.con" "Sine_and_Cosine__Sine_of_Sum__". -inline cic:/CoRN/transc/Trigonometric/G.con. +inline "cic:/CoRN/transc/Trigonometric/Sine_and_Cosine/Sine_of_Sum/G.con" "Sine_and_Cosine__Sine_of_Sum__". -inline cic:/CoRN/transc/Trigonometric/F'.con. +inline "cic:/CoRN/transc/Trigonometric/Sine_and_Cosine/Sine_of_Sum/F'.con" "Sine_and_Cosine__Sine_of_Sum__". -inline cic:/CoRN/transc/Trigonometric/G'.con. +inline "cic:/CoRN/transc/Trigonometric/Sine_and_Cosine/Sine_of_Sum/G'.con" "Sine_and_Cosine__Sine_of_Sum__". (* end hide *) @@ -156,7 +156,7 @@ Opaque FAbs. Transparent FAbs. *) -inline cic:/CoRN/transc/Trigonometric/Sin_plus_Taylor_bnd_lft.con. +inline "cic:/CoRN/transc/Trigonometric/Sin_plus_Taylor_bnd_lft.con". (* UNEXPORTED Opaque FAbs. @@ -190,27 +190,27 @@ Opaque FAbs. Transparent FAbs. *) -inline cic:/CoRN/transc/Trigonometric/Sin_plus_Taylor_bnd_rht.con. +inline "cic:/CoRN/transc/Trigonometric/Sin_plus_Taylor_bnd_rht.con". -inline cic:/CoRN/transc/Trigonometric/Sin_plus_eq.con. +inline "cic:/CoRN/transc/Trigonometric/Sin_plus_eq.con". -inline cic:/CoRN/transc/Trigonometric/Sin_plus_der_lft.con. +inline "cic:/CoRN/transc/Trigonometric/Sin_plus_der_lft.con". -inline cic:/CoRN/transc/Trigonometric/Sin_plus_der_rht.con. +inline "cic:/CoRN/transc/Trigonometric/Sin_plus_der_rht.con". -inline cic:/CoRN/transc/Trigonometric/Sin_plus_fun.con. +inline "cic:/CoRN/transc/Trigonometric/Sin_plus_fun.con". (* UNEXPORTED -End Sine_of_Sum. +End Sine_of_Sum *) (* UNEXPORTED Opaque Sine Cosine. *) -inline cic:/CoRN/transc/Trigonometric/Cos_plus_fun.con. +inline "cic:/CoRN/transc/Trigonometric/Cos_plus_fun.con". (* UNEXPORTED -End Sine_and_Cosine. +End Sine_and_Cosine *)