]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/contribs/CoRN-Decl/transc/Exponential.ma
- transcript: now outputs includes and coercions correctly
[helm.git] / helm / software / matita / contribs / CoRN-Decl / transc / Exponential.ma
index 8a1b637c641393e60ccf9ed9da0409d40ae15495..434241caaee2a242bc72a486633fd3c2c8e09039 100644 (file)
 
 set "baseuri" "cic:/matita/CoRN-Decl/transc/Exponential".
 
+include "CoRN.ma".
+
 (* $Id: Exponential.v,v 1.7 2004/04/23 10:01:07 lcf Exp $ *)
 
-(* INCLUDE
-TaylorSeries
-*)
+include "transc/TaylorSeries.ma".
 
 (* UNEXPORTED
 Opaque Min Max.
@@ -35,20 +35,20 @@ The main properties of the exponential and logarithmic functions.
 Exponential is strongly extensional and well defined.
 *)
 
-inline cic:/CoRN/transc/Exponential/Exp_strext.con.
+inline "cic:/CoRN/transc/Exponential/Exp_strext.con".
 
-inline cic:/CoRN/transc/Exponential/Exp_wd.con.
+inline "cic:/CoRN/transc/Exponential/Exp_wd.con".
 
 (* UNEXPORTED
 Hint Resolve Exp_wd: algebra.
 *)
 
-inline cic:/CoRN/transc/Exponential/Exp_zero.con.
+inline "cic:/CoRN/transc/Exponential/Exp_zero.con".
 
 (*#* $e^1=e$#e<sup>1</sup>=e#, where [e] was defined a long time ago.
 *)
 
-inline cic:/CoRN/transc/Exponential/Exp_one.con.
+inline "cic:/CoRN/transc/Exponential/Exp_one.con".
 
 (* UNEXPORTED
 Hint Resolve Exp_zero Exp_one: algebra.
@@ -58,13 +58,13 @@ Hint Resolve Exp_zero Exp_one: algebra.
 The exponential function is its own derivative, and continuous.
 *)
 
-inline cic:/CoRN/transc/Exponential/Derivative_Exp.con.
+inline "cic:/CoRN/transc/Exponential/Derivative_Exp.con".
 
 (* UNEXPORTED
 Hint Resolve Derivative_Exp: derivate.
 *)
 
-inline cic:/CoRN/transc/Exponential/Continuous_Exp.con.
+inline "cic:/CoRN/transc/Exponential/Continuous_Exp.con".
 
 (* UNEXPORTED
 Hint Resolve Continuous_Exp: continuous.
@@ -74,20 +74,20 @@ Hint Resolve Continuous_Exp: continuous.
 Negative numbers are projected into the interval [[0,1]].
 *)
 
-inline cic:/CoRN/transc/Exponential/One_less_Exp.con.
+inline "cic:/CoRN/transc/Exponential/One_less_Exp.con".
 
-inline cic:/CoRN/transc/Exponential/One_leEq_Exp.con.
+inline "cic:/CoRN/transc/Exponential/One_leEq_Exp.con".
 
-inline cic:/CoRN/transc/Exponential/Exp_pos'.con.
+inline "cic:/CoRN/transc/Exponential/Exp_pos'.con".
 
 (*#*
 Exponential is the unique function which evaluates to 1 at 0 and is
 its own derivative.
 *)
 
-inline cic:/CoRN/transc/Exponential/Exp_unique_lemma.con.
+inline "cic:/CoRN/transc/Exponential/Exp_unique_lemma.con".
 
-inline cic:/CoRN/transc/Exponential/Exp_bnd.con.
+inline "cic:/CoRN/transc/Exponential/Exp_bnd.con".
 
 (* UNEXPORTED
 Opaque Expon.
@@ -97,25 +97,25 @@ Opaque Expon.
 Transparent Expon.
 *)
 
-inline cic:/CoRN/transc/Exponential/Exp_unique.con.
+inline "cic:/CoRN/transc/Exponential/Exp_unique.con".
 
 (* UNEXPORTED
 Opaque Expon.
 *)
 
-inline cic:/CoRN/transc/Exponential/Exp_plus_pos.con.
+inline "cic:/CoRN/transc/Exponential/Exp_plus_pos.con".
 
 (*#* The usual rules for computing the exponential of a sum. *)
 
-inline cic:/CoRN/transc/Exponential/Exp_plus.con.
+inline "cic:/CoRN/transc/Exponential/Exp_plus.con".
 
 (* UNEXPORTED
 Hint Resolve Exp_plus: algebra.
 *)
 
-inline cic:/CoRN/transc/Exponential/Exp_plus'.con.
+inline "cic:/CoRN/transc/Exponential/Exp_plus'.con".
 
-inline cic:/CoRN/transc/Exponential/Exp_inv_char.con.
+inline "cic:/CoRN/transc/Exponential/Exp_inv_char.con".
 
 (* UNEXPORTED
 Hint Resolve Exp_inv_char: algebra.
@@ -125,52 +125,52 @@ Hint Resolve Exp_inv_char: algebra.
 from zero.
 *)
 
-inline cic:/CoRN/transc/Exponential/Exp_pos.con.
+inline "cic:/CoRN/transc/Exponential/Exp_pos.con".
 
-inline cic:/CoRN/transc/Exponential/Exp_ap_zero.con.
+inline "cic:/CoRN/transc/Exponential/Exp_ap_zero.con".
 
 (*#*
 And the rules for the exponential of differences.
 *)
 
-inline cic:/CoRN/transc/Exponential/Exp_inv.con.
+inline "cic:/CoRN/transc/Exponential/Exp_inv.con".
 
 (* UNEXPORTED
 Hint Resolve Exp_inv: algebra.
 *)
 
-inline cic:/CoRN/transc/Exponential/Exp_minus.con.
+inline "cic:/CoRN/transc/Exponential/Exp_minus.con".
 
 (* UNEXPORTED
 Hint Resolve Exp_minus: algebra.
 *)
 
-inline cic:/CoRN/transc/Exponential/Exp_inv'.con.
+inline "cic:/CoRN/transc/Exponential/Exp_inv'.con".
 
-inline cic:/CoRN/transc/Exponential/Exp_minus'.con.
+inline "cic:/CoRN/transc/Exponential/Exp_minus'.con".
 
 (*#* Exponential is a monotonous function. *)
 
-inline cic:/CoRN/transc/Exponential/Exp_less_One.con.
+inline "cic:/CoRN/transc/Exponential/Exp_less_One.con".
 
-inline cic:/CoRN/transc/Exponential/Exp_leEq_One.con.
+inline "cic:/CoRN/transc/Exponential/Exp_leEq_One.con".
 
-inline cic:/CoRN/transc/Exponential/Exp_resp_less.con.
+inline "cic:/CoRN/transc/Exponential/Exp_resp_less.con".
 
-inline cic:/CoRN/transc/Exponential/Exp_resp_leEq.con.
+inline "cic:/CoRN/transc/Exponential/Exp_resp_leEq.con".
 
 (*#* **Properties of Logarithm
 
 The logarithm is a continuous function with derivative [One[/]x].
 *)
 
-inline cic:/CoRN/transc/Exponential/Derivative_Log.con.
+inline "cic:/CoRN/transc/Exponential/Derivative_Log.con".
 
 (* UNEXPORTED
 Hint Resolve Derivative_Log: derivate.
 *)
 
-inline cic:/CoRN/transc/Exponential/Continuous_Log.con.
+inline "cic:/CoRN/transc/Exponential/Continuous_Log.con".
 
 (* UNEXPORTED
 Hint Resolve Continuous_Log: continuous.
@@ -178,7 +178,7 @@ Hint Resolve Continuous_Log: continuous.
 
 (*#* Logarithm of [One]. *)
 
-inline cic:/CoRN/transc/Exponential/Log_one.con.
+inline "cic:/CoRN/transc/Exponential/Log_one.con".
 
 (* UNEXPORTED
 Hint Resolve Log_one: algebra.
@@ -186,9 +186,9 @@ Hint Resolve Log_one: algebra.
 
 (*#* The logarithm is (strongly) extensional. *)
 
-inline cic:/CoRN/transc/Exponential/Log_strext.con.
+inline "cic:/CoRN/transc/Exponential/Log_strext.con".
 
-inline cic:/CoRN/transc/Exponential/Log_wd.con.
+inline "cic:/CoRN/transc/Exponential/Log_wd.con".
 
 (* UNEXPORTED
 Hint Resolve Log_wd: algebra.
@@ -204,17 +204,17 @@ Opaque Logarithm.
 Transparent Logarithm.
 *)
 
-inline cic:/CoRN/transc/Exponential/Log_mult.con.
+inline "cic:/CoRN/transc/Exponential/Log_mult.con".
 
 (* UNEXPORTED
 Hint Resolve Log_mult: algebra.
 *)
 
-inline cic:/CoRN/transc/Exponential/Log_mult'.con.
+inline "cic:/CoRN/transc/Exponential/Log_mult'.con".
 
 (*#* A characterization of the domain of the logarithm. *)
 
-inline cic:/CoRN/transc/Exponential/Log_domain.con.
+inline "cic:/CoRN/transc/Exponential/Log_domain.con".
 
 (* UNEXPORTED
 Opaque Expon Logarithm.
@@ -224,9 +224,9 @@ Opaque Expon Logarithm.
 numerical and as a functional equation.
 *)
 
-inline cic:/CoRN/transc/Exponential/Log_Exp_inv.con.
+inline "cic:/CoRN/transc/Exponential/Log_Exp_inv.con".
 
-inline cic:/CoRN/transc/Exponential/Log_Exp.con.
+inline "cic:/CoRN/transc/Exponential/Log_Exp.con".
 
 (* UNEXPORTED
 Transparent Logarithm.
@@ -236,11 +236,11 @@ Transparent Logarithm.
 Hint Resolve Log_Exp: algebra.
 *)
 
-inline cic:/CoRN/transc/Exponential/Exp_Log_lemma.con.
+inline "cic:/CoRN/transc/Exponential/Exp_Log_lemma.con".
 
 (*#* The converse expression. *)
 
-inline cic:/CoRN/transc/Exponential/Exp_Log.con.
+inline "cic:/CoRN/transc/Exponential/Exp_Log.con".
 
 (* UNEXPORTED
 Hint Resolve Exp_Log: algebra.
@@ -248,9 +248,9 @@ Hint Resolve Exp_Log: algebra.
 
 (*#* Exponential and logarithm are injective. *)
 
-inline cic:/CoRN/transc/Exponential/Exp_cancel.con.
+inline "cic:/CoRN/transc/Exponential/Exp_cancel.con".
 
-inline cic:/CoRN/transc/Exponential/Log_cancel.con.
+inline "cic:/CoRN/transc/Exponential/Log_cancel.con".
 
 (* UNEXPORTED
 Opaque Logarithm.
@@ -258,9 +258,9 @@ Opaque Logarithm.
 
 (*#* And the final characterization as inverse functions. *)
 
-inline cic:/CoRN/transc/Exponential/Exp_Log_inv.con.
+inline "cic:/CoRN/transc/Exponential/Exp_Log_inv.con".
 
-inline cic:/CoRN/transc/Exponential/Log_E.con.
+inline "cic:/CoRN/transc/Exponential/Log_E.con".
 
 (* UNEXPORTED
 Hint Resolve Log_E: algebra.
@@ -268,43 +268,43 @@ Hint Resolve Log_E: algebra.
 
 (*#* Several rules regarding inequalities. *)
 
-inline cic:/CoRN/transc/Exponential/Log_cancel_less.con.
+inline "cic:/CoRN/transc/Exponential/Log_cancel_less.con".
 
-inline cic:/CoRN/transc/Exponential/Log_cancel_leEq.con.
+inline "cic:/CoRN/transc/Exponential/Log_cancel_leEq.con".
 
-inline cic:/CoRN/transc/Exponential/Log_resp_less.con.
+inline "cic:/CoRN/transc/Exponential/Log_resp_less.con".
 
-inline cic:/CoRN/transc/Exponential/Log_resp_leEq.con.
+inline "cic:/CoRN/transc/Exponential/Log_resp_leEq.con".
 
-inline cic:/CoRN/transc/Exponential/Exp_cancel_less.con.
+inline "cic:/CoRN/transc/Exponential/Exp_cancel_less.con".
 
-inline cic:/CoRN/transc/Exponential/Exp_cancel_leEq.con.
+inline "cic:/CoRN/transc/Exponential/Exp_cancel_leEq.con".
 
-inline cic:/CoRN/transc/Exponential/Log_less_Zero.con.
+inline "cic:/CoRN/transc/Exponential/Log_less_Zero.con".
 
-inline cic:/CoRN/transc/Exponential/Log_leEq_Zero.con.
+inline "cic:/CoRN/transc/Exponential/Log_leEq_Zero.con".
 
-inline cic:/CoRN/transc/Exponential/Zero_less_Log.con.
+inline "cic:/CoRN/transc/Exponential/Zero_less_Log.con".
 
-inline cic:/CoRN/transc/Exponential/Zero_leEq_Log.con.
+inline "cic:/CoRN/transc/Exponential/Zero_leEq_Log.con".
 
 (*#* Finally, rules for logarithm of quotients. *)
 
-inline cic:/CoRN/transc/Exponential/Log_recip_char.con.
+inline "cic:/CoRN/transc/Exponential/Log_recip_char.con".
 
-inline cic:/CoRN/transc/Exponential/Log_recip.con.
+inline "cic:/CoRN/transc/Exponential/Log_recip.con".
 
 (* UNEXPORTED
 Hint Resolve Log_recip: algebra.
 *)
 
-inline cic:/CoRN/transc/Exponential/Log_recip'.con.
+inline "cic:/CoRN/transc/Exponential/Log_recip'.con".
 
-inline cic:/CoRN/transc/Exponential/Log_div.con.
+inline "cic:/CoRN/transc/Exponential/Log_div.con".
 
 (* UNEXPORTED
 Hint Resolve Log_div: algebra.
 *)
 
-inline cic:/CoRN/transc/Exponential/Log_div'.con.
+inline "cic:/CoRN/transc/Exponential/Log_div'.con".