X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Flib%2Ftutorial%2Fchapter13.ma;h=c8620fcfd27c478fbd2bf0b92a4883db5bcce6ef;hb=6c15dd2d7c372dc163c24e96bf56376c5bcb5a6c;hp=3ff16855e67af8e6aeff2641480cebeb2ee79cad;hpb=886d7c4b7a21b4ca8f148d42555a5d89e8222fc8;p=helm.git

diff --git a/matita/matita/lib/tutorial/chapter13.ma b/matita/matita/lib/tutorial/chapter13.ma
index 3ff16855e..c8620fcfd 100644
--- a/matita/matita/lib/tutorial/chapter13.ma
+++ b/matita/matita/lib/tutorial/chapter13.ma
@@ -3,7 +3,7 @@ Coinductive Types and Predicates
 *)
 
 include "basics/lists/list.ma".
-include "chapter12.ma".
+include "tutorial/chapter12.ma".
 
 (* The only primitive data types of Matita are dependent products and universes.
 So far every other user defined data type has been an inductive type. An
@@ -104,8 +104,7 @@ coercion R_to_fun : ∀r:R. ℕ → Q ≝ r on _r:R to ?.
 (* Adding two real numbers just requires pointwise addition of the 
  approximations. The proof that the resulting sequence is Cauchy is the standard
  one: to obtain an approximation up to eps it is necessary to approximate both
- summands up to eps/2. The proof that the function is well defined w.r.t. the
- omitted equivalence relation is also omitted. *)
+ summands up to eps/2. *)
 definition Rplus_: R_ → R_ → R_ ≝
  λr1,r2. mk_R_ (λn. r1 n + r2 n) ….
  #eps
@@ -156,7 +155,7 @@ record div_trace: Type[0] ≝
  ; div_well_formed: ∀n. next (div_tr n) (div_tr (S n))
  }.
 
-(* The previous definition of trace is not very computable: we cannot write
+(* The previous definition of trace is not computable: we cannot write
  a program that given an initial state returns its trace. To write that function,
  we first write a computable version of next, called step. *)
 definition step: state → option state ≝