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[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 775cbd390c4ec9287fba0148c22ebe0014d0e776..8ca0254b4387e4655c791043da7c9fce29c111ae 100644 (file)
--- a/helm/software/matita/nlibrary/algebra/magmas.ma
+++ b/helm/software/matita/nlibrary/algebra/magmas.ma
@@ -20,12 +20,13 @@ nrecord magma_type : Type[1] ≝
  }.
 
 nrecord magma (A: magma_type) : Type[1] ≝
- { mcarr:> qpowerclass A;
+ { mcarr:> ext_powerclass A;
    op_closed: ∀x,y. x ∈ mcarr → y ∈ mcarr → op A x y ∈ mcarr
  }.
 
+alias symbol "hint_decl" = "hint_decl_Type2".
 unification hint 0 ≔ 
-  A : ? ⊢ carr1 (qpowerclass_setoid A) ≡ qpowerclass A. 
+  A : ? ⊢ carr1 (ext_powerclass_setoid A) ≡ ext_powerclass A. 
 
 (*
 ncoercion mcarr' : ∀A. ∀M: magma A. carr1 (qpowerclass_setoid (mtcarr A))
@@ -78,7 +79,7 @@ nqed.
 ndefinition m_intersect: ∀A. magma A → magma A → magma A.
  #A; #M1; #M2;
  napply (mk_magma …)
-  [ napply (intersect_ok ? M1 M2)
+  [ napply (intersect_is_ext_morph ? M1 M2)
   | #x; #y; nwhd in ⊢ (% → % → %); *; #Hx1; #Hx2; *; #Hy1; #Hy2;
     napply conj; napply op_closed; nassumption ]
 nqed.
\ No newline at end of file