X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Flibrary%2Fdama%2Fbishop_set_rewrite.ma;h=55964d6848347d294209e1f324521f99a377bdf5;hb=e91eb82d2b5e032907758bff0b474d62d57463dc;hp=ff063e29a0adaaeed17bb1f6d9ad0404970a082b;hpb=6fbeff97e37927fd95b3aee3eb23b4309fc465c4;p=helm.git diff --git a/helm/software/matita/library/dama/bishop_set_rewrite.ma b/helm/software/matita/library/dama/bishop_set_rewrite.ma index ff063e29a..55964d684 100644 --- a/helm/software/matita/library/dama/bishop_set_rewrite.ma +++ b/helm/software/matita/library/dama/bishop_set_rewrite.ma @@ -12,7 +12,7 @@ (* *) (**************************************************************************) -include "bishop_set.ma". +include "dama/bishop_set.ma". coercion eq_sym. @@ -22,7 +22,7 @@ lemma eq_trans:∀E:bishop_set.∀x,z,y:E.x ≈ y → y ≈ z → x ≈ z ≝ notation > "'Eq'≈" non associative with precedence 50 for @{'eqrewrite}. -interpretation "eq_rew" 'eqrewrite = (eq_trans _ _ _). +interpretation "eq_rew" 'eqrewrite = (eq_trans ? ? ?). lemma le_rewl: ∀E:ordered_set.∀z,y,x:E. x ≈ y → x ≤ z → y ≤ z. intros (E z y x Exy Lxz); apply (le_transitive ??? ? Lxz); @@ -35,9 +35,9 @@ intro Xyz; apply Exy; left; assumption; qed. notation > "'Le'≪" non associative with precedence 50 for @{'lerewritel}. -interpretation "le_rewl" 'lerewritel = (le_rewl _ _ _). +interpretation "le_rewl" 'lerewritel = (le_rewl ? ? ?). notation > "'Le'≫" non associative with precedence 50 for @{'lerewriter}. -interpretation "le_rewr" 'lerewriter = (le_rewr _ _ _). +interpretation "le_rewr" 'lerewriter = (le_rewr ? ? ?). lemma ap_rewl: ∀A:bishop_set.∀x,z,y:A. x ≈ y → y # z → x # z. intros (A x z y Exy Ayz); cases (bs_cotransitive ???x Ayz); [2:assumption] @@ -50,9 +50,9 @@ apply bs_symmetric; assumption; qed. notation > "'Ap'≪" non associative with precedence 50 for @{'aprewritel}. -interpretation "ap_rewl" 'aprewritel = (ap_rewl _ _ _). +interpretation "ap_rewl" 'aprewritel = (ap_rewl ? ? ?). notation > "'Ap'≫" non associative with precedence 50 for @{'aprewriter}. -interpretation "ap_rewr" 'aprewriter = (ap_rewr _ _ _). +interpretation "ap_rewr" 'aprewriter = (ap_rewr ? ? ?). lemma exc_rewl: ∀A:ordered_set.∀x,z,y:A. x ≈ y → y ≰ z → x ≰ z. intros (A x z y Exy Ayz); cases (exc_cotransitive ?? x Ayz); [2:assumption] @@ -65,9 +65,9 @@ cases (Exy); left; assumption; qed. notation > "'Ex'≪" non associative with precedence 50 for @{'ordered_setrewritel}. -interpretation "exc_rewl" 'ordered_setrewritel = (exc_rewl _ _ _). +interpretation "exc_rewl" 'ordered_setrewritel = (exc_rewl ? ? ?). notation > "'Ex'≫" non associative with precedence 50 for @{'ordered_setrewriter}. -interpretation "exc_rewr" 'ordered_setrewriter = (exc_rewr _ _ _). +interpretation "exc_rewr" 'ordered_setrewriter = (exc_rewr ? ? ?). (* lemma lt_rewr: ∀A:ordered_set.∀x,z,y:A. x ≈ y → z < y → z < x. @@ -81,7 +81,7 @@ intros (A x y z E H); split; cases H; qed. notation > "'Lt'≪" non associative with precedence 50 for @{'ltrewritel}. -interpretation "lt_rewl" 'ltrewritel = (lt_rewl _ _ _). +interpretation "lt_rewl" 'ltrewritel = (lt_rewl ? ? ?). notation > "'Lt'≫" non associative with precedence 50 for @{'ltrewriter}. -interpretation "lt_rewr" 'ltrewriter = (lt_rewr _ _ _). +interpretation "lt_rewr" 'ltrewriter = (lt_rewr ? ? ?). *)