X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fnlibrary%2Flogic%2Fcprop.ma;h=0302264c690a7575a63cce643fd9940933d23a12;hb=23a000715f1d3961b1b4a7efcf1870772d9bec93;hp=d006599ed93b49ffdb42ab46f8d1edbccd9b993a;hpb=6678a28314d8878bb46d5de7b1060628f4930242;p=helm.git diff --git a/helm/software/matita/nlibrary/logic/cprop.ma b/helm/software/matita/nlibrary/logic/cprop.ma index d006599ed..0302264c6 100644 --- a/helm/software/matita/nlibrary/logic/cprop.ma +++ b/helm/software/matita/nlibrary/logic/cprop.ma @@ -12,6 +12,7 @@ (* *) (**************************************************************************) +include "hints_declaration.ma". include "sets/setoids1.ma". ndefinition CPROP: setoid1. @@ -25,7 +26,8 @@ ndefinition CPROP: setoid1. [ napply (H3 (H1 w)) | napply (H2 (H4 w))]##]##] nqed. -unification hint 0 ((λx,y.True) (carr1 CPROP) CProp[0]). +alias symbol "hint_decl" = "hint_decl_CProp2". +unification hint 0 ≔ ⊢ CProp[0] ≡ carr1 CPROP. (*ndefinition CProp0_of_CPROP: carr1 CPROP → CProp[0] ≝ λx.x. ncoercion CProp0_of_CPROP : ∀x: carr1 CPROP. CProp[0] ≝ CProp0_of_CPROP @@ -50,15 +52,13 @@ ndefinition and_morphism: binary_morphism1 CPROP CPROP CPROP. | napply (H4 K2)]##] nqed. -unification hint 0 (∀A,B.(λx,y.True) (fun21 ??? and_morphism A B) (And A B)). +unification hint 0 ≔ A,B ⊢ fun21 … (mk_binary_morphism1 … And (prop21 … and_morphism)) A B ≡ And A B. (*nlemma test: ∀A,A',B: CProp[0]. A=A' → (B ∨ A) = B → (B ∧ A) ∧ B. #A; #A'; #B; #H1; #H2; napply (. ((#‡H1)‡H2^-1)); nnormalize; nqed.*) -(*interpretation "and_morphism" 'and a b = (fun21 ??? and_morphism a b).*) - ndefinition or_morphism: binary_morphism1 CPROP CPROP CPROP. napply mk_binary_morphism1 [ napply Or @@ -70,9 +70,7 @@ ndefinition or_morphism: binary_morphism1 CPROP CPROP CPROP. | napply (H4 H)]##] nqed. -unification hint 0 (∀A,B.(λx,y.True) (fun21 ??? or_morphism A B) (Or A B)). - -(*interpretation "or_morphism" 'or a b = (fun21 ??? or_morphism a b).*) +unification hint 0 ≔ A,B ⊢ fun21 … (mk_binary_morphism1 … Or (prop21 … or_morphism)) A B ≡ Or A B. ndefinition if_morphism: binary_morphism1 CPROP CPROP CPROP. napply mk_binary_morphism1 @@ -80,4 +78,4 @@ ndefinition if_morphism: binary_morphism1 CPROP CPROP CPROP. | #a; #a'; #b; #b'; #H1; #H2; napply mk_iff; #H; #w [ napply (if … H2); napply H; napply (fi … H1); nassumption | napply (fi … H2); napply H; napply (if … H1); nassumption]##] -nqed. \ No newline at end of file +nqed.