X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fnlibrary%2Falgebra%2Fmagmas.ma;h=eac55537ea20e73c9d13df0dde34bf174c971e87;hb=e880d6eab5e1700f4a625ddcd7d0fa8f0cce2dcc;hp=24203f2098422059a1fc6ec95396267cb5b0b91b;hpb=857a0fc157e903b1475ad6c76b03914e342fe8f6;p=helm.git diff --git a/helm/software/matita/nlibrary/algebra/magmas.ma b/helm/software/matita/nlibrary/algebra/magmas.ma index 24203f209..eac55537e 100644 --- a/helm/software/matita/nlibrary/algebra/magmas.ma +++ b/helm/software/matita/nlibrary/algebra/magmas.ma @@ -16,17 +16,23 @@ include "sets/sets.ma". nrecord magma_type : Type[1] ≝ { mtcarr:> setoid; - op: binary_morphism mtcarr mtcarr mtcarr + op: unary_morphism mtcarr (unary_morph_setoid mtcarr mtcarr) }. 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 (ext_powerclass_setoid A) ≡ ext_powerclass A. + +(* ncoercion mcarr' : ∀A. ∀M: magma A. carr1 (qpowerclass_setoid (mtcarr A)) ≝ λA.λM: magma A.mcarr ? M on _M: magma ? to carr1 (qpowerclass_setoid (mtcarr ?)). +*) nrecord magma_morphism_type (A,B: magma_type) : Type[0] ≝ { mmcarr:> unary_morphism A B; @@ -35,8 +41,8 @@ nrecord magma_morphism_type (A,B: magma_type) : Type[0] ≝ nrecord magma_morphism (A) (B) (Ma: magma A) (Mb: magma B) : Type[0] ≝ { mmmcarr:> magma_morphism_type A B; - mmclosed: ∀x:A. x ∈ mcarr ? Ma → mmmcarr x ∈ mcarr ? Mb - }. + mmclosed: ∀x:A. x ∈ mcarr ? Ma → (fun1 ?? mmmcarr x) ∈ mcarr ? Mb + }. (* XXX bug nelle coercions, fun1 non inserita *) (* ndefinition mm_image: @@ -73,7 +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