(*#* First, we need a lemma on mappings. *)
-inline procedural "cic:/CoRN/transc/Trigonometric/maps_translation.con".
+inline procedural "cic:/CoRN/transc/Trigonometric/maps_translation.con" as lemma.
(* UNEXPORTED
End Lemmas
(*#* Sine, cosine and tangent at [Zero]. *)
-inline procedural "cic:/CoRN/transc/Trigonometric/Sin_zero.con".
+inline procedural "cic:/CoRN/transc/Trigonometric/Sin_zero.con" as lemma.
-inline procedural "cic:/CoRN/transc/Trigonometric/Cos_zero.con".
+inline procedural "cic:/CoRN/transc/Trigonometric/Cos_zero.con" as lemma.
(* UNEXPORTED
Hint Resolve Sin_zero Cos_zero: algebra.
Opaque Sine Cosine.
*)
-inline procedural "cic:/CoRN/transc/Trigonometric/Tan_zero.con".
+inline procedural "cic:/CoRN/transc/Trigonometric/Tan_zero.con" as lemma.
(* UNEXPORTED
Transparent Sine Cosine.
Continuity of sine and cosine are trivial.
*)
-inline procedural "cic:/CoRN/transc/Trigonometric/Continuous_Sin.con".
+inline procedural "cic:/CoRN/transc/Trigonometric/Continuous_Sin.con" as lemma.
-inline procedural "cic:/CoRN/transc/Trigonometric/Continuous_Cos.con".
+inline procedural "cic:/CoRN/transc/Trigonometric/Continuous_Cos.con" as lemma.
(*#*
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 procedural "cic:/CoRN/transc/Trigonometric/cos_sin_seq.con".
+inline procedural "cic:/CoRN/transc/Trigonometric/cos_sin_seq.con" as lemma.
-inline procedural "cic:/CoRN/transc/Trigonometric/sin_cos_seq.con".
+inline procedural "cic:/CoRN/transc/Trigonometric/sin_cos_seq.con" as lemma.
-inline procedural "cic:/CoRN/transc/Trigonometric/Derivative_Sin.con".
+inline procedural "cic:/CoRN/transc/Trigonometric/Derivative_Sin.con" as lemma.
-inline procedural "cic:/CoRN/transc/Trigonometric/Derivative_Cos.con".
+inline procedural "cic:/CoRN/transc/Trigonometric/Derivative_Cos.con" as lemma.
(* UNEXPORTED
Hint Resolve Derivative_Sin Derivative_Cos: derivate.
(* begin hide *)
-inline procedural "cic:/CoRN/transc/Trigonometric/Sine_and_Cosine/Sine_of_Sum/F.con" "Sine_and_Cosine__Sine_of_Sum__".
+inline procedural "cic:/CoRN/transc/Trigonometric/Sine_and_Cosine/Sine_of_Sum/F.con" "Sine_and_Cosine__Sine_of_Sum__" as definition.
-inline procedural "cic:/CoRN/transc/Trigonometric/Sine_and_Cosine/Sine_of_Sum/G.con" "Sine_and_Cosine__Sine_of_Sum__".
+inline procedural "cic:/CoRN/transc/Trigonometric/Sine_and_Cosine/Sine_of_Sum/G.con" "Sine_and_Cosine__Sine_of_Sum__" as definition.
-inline procedural "cic:/CoRN/transc/Trigonometric/Sine_and_Cosine/Sine_of_Sum/F'.con" "Sine_and_Cosine__Sine_of_Sum__".
+inline procedural "cic:/CoRN/transc/Trigonometric/Sine_and_Cosine/Sine_of_Sum/F'.con" "Sine_and_Cosine__Sine_of_Sum__" as definition.
-inline procedural "cic:/CoRN/transc/Trigonometric/Sine_and_Cosine/Sine_of_Sum/G'.con" "Sine_and_Cosine__Sine_of_Sum__".
+inline procedural "cic:/CoRN/transc/Trigonometric/Sine_and_Cosine/Sine_of_Sum/G'.con" "Sine_and_Cosine__Sine_of_Sum__" as definition.
(* end hide *)
Transparent FAbs.
*)
-inline procedural "cic:/CoRN/transc/Trigonometric/Sin_plus_Taylor_bnd_lft.con".
+inline procedural "cic:/CoRN/transc/Trigonometric/Sin_plus_Taylor_bnd_lft.con" as lemma.
(* UNEXPORTED
Opaque FAbs.
Transparent FAbs.
*)
-inline procedural "cic:/CoRN/transc/Trigonometric/Sin_plus_Taylor_bnd_rht.con".
+inline procedural "cic:/CoRN/transc/Trigonometric/Sin_plus_Taylor_bnd_rht.con" as lemma.
-inline procedural "cic:/CoRN/transc/Trigonometric/Sin_plus_eq.con".
+inline procedural "cic:/CoRN/transc/Trigonometric/Sin_plus_eq.con" as lemma.
-inline procedural "cic:/CoRN/transc/Trigonometric/Sin_plus_der_lft.con".
+inline procedural "cic:/CoRN/transc/Trigonometric/Sin_plus_der_lft.con" as lemma.
-inline procedural "cic:/CoRN/transc/Trigonometric/Sin_plus_der_rht.con".
+inline procedural "cic:/CoRN/transc/Trigonometric/Sin_plus_der_rht.con" as lemma.
-inline procedural "cic:/CoRN/transc/Trigonometric/Sin_plus_fun.con".
+inline procedural "cic:/CoRN/transc/Trigonometric/Sin_plus_fun.con" as lemma.
(* UNEXPORTED
End Sine_of_Sum
Opaque Sine Cosine.
*)
-inline procedural "cic:/CoRN/transc/Trigonometric/Cos_plus_fun.con".
+inline procedural "cic:/CoRN/transc/Trigonometric/Cos_plus_fun.con" as lemma.
(* UNEXPORTED
End Sine_and_Cosine