Coercion hiding implemented. Notes:

[helm.git] / helm / software / matita / nlibrary / algebra / magmas.ma

diff --git a/helm/software/matita/nlibrary/algebra/magmas.ma b/helm/software/matita/nlibrary/algebra/magmas.ma
index e49d8ea82545549e7b9c3818f1ba029879ede330..7283cbc58f95d733587a3b15cfe9b5b01a8de5e6 100644 (file)
--- a/helm/software/matita/nlibrary/algebra/magmas.ma
+++ b/helm/software/matita/nlibrary/algebra/magmas.ma
@@ -58,10 +58,6 @@ ndefinition mmmcarr ≝
 ncoercion mmmcarr : ∀A,B,Ma,Mb.∀f: magma_morphism A B Ma Mb. pre_magma_morphism A B
  ≝ mmmcarr
  on _f: magma_morphism ???? to pre_magma_morphism ??.
-ndefinition mmcarr_mmmcarr ≝
- λA,B,Ma,Mb.λf: magma_morphism A B Ma Mb. mmcarr ?? (mmmcarr ???? f).
-ncoercion mmcarr_mmmcarr : ∀A,B,Ma,Mb.∀f: magma_morphism A B Ma Mb. A → B ≝ mmcarr_mmmcarr
- on _f: magma_morphism ???? to ∀_.?.
 ndefinition mmclosed ≝
  λA,B,Ma,Mb.λf: magma_morphism A B Ma Mb.
   match f return λf: magma_morphism A B Ma Mb.∀x. x ∈ Ma → f x ∈ Mb with
@@ -79,7 +75,7 @@ ndefinition mm_image:
  ∀A,B. ∀Ma: magma A. ∀Mb: magma B. magma_morphism ?? Ma Mb → magma B.
  #A; #B; #Ma; #Mb; #f;
  napply (mk_magma ???)
-  [ napply (image ?? (mmcarr ?? (mmmcarr ???? f)) (mcarr ? Ma)) 
+  [ napply (image ?? (mmcarr ?? (mmmcarr ???? f)) Ma) (* NO COMPOSITE! *)
   | #x; #y; nwhd in ⊢ (% → % → ?); *; #x0; *; #Hx0; #Hx1; *; #y0; *; #Hy0; #Hy1; nwhd;
     napply (ex_intro ????)
      [ napply (op ? x0 y0)