X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Flibrary%2Fdama%2Fbishop_set_rewrite.ma;h=88e4c3d37ff0cc38b7965f655d11795a60468bb2;hb=eaaea3c18083de3e442e939768ff450d3b093911;hp=55964d6848347d294209e1f324521f99a377bdf5;hpb=dc66c8d89a5147178ccdacb8341ed26c9c52f06b;p=helm.git diff --git a/matita/matita/library/dama/bishop_set_rewrite.ma b/matita/matita/library/dama/bishop_set_rewrite.ma index 55964d684..88e4c3d37 100644 --- a/matita/matita/library/dama/bishop_set_rewrite.ma +++ b/matita/matita/library/dama/bishop_set_rewrite.ma @@ -19,7 +19,7 @@ coercion eq_sym. lemma eq_trans:∀E:bishop_set.∀x,z,y:E.x ≈ y → y ≈ z → x ≈ z ≝ λE,x,y,z.eq_trans_ E x z y. -notation > "'Eq'≈" non associative with precedence 50 +notation > "'Eq'≈" non associative with precedence 55 for @{'eqrewrite}. interpretation "eq_rew" 'eqrewrite = (eq_trans ? ? ?). @@ -34,9 +34,9 @@ intros (E z y x Exy Lxz); apply (le_transitive ??? Lxz); intro Xyz; apply Exy; left; assumption; qed. -notation > "'Le'≪" non associative with precedence 50 for @{'lerewritel}. +notation > "'Le'≪" non associative with precedence 55 for @{'lerewritel}. interpretation "le_rewl" 'lerewritel = (le_rewl ? ? ?). -notation > "'Le'≫" non associative with precedence 50 for @{'lerewriter}. +notation > "'Le'≫" non associative with precedence 55 for @{'lerewriter}. interpretation "le_rewr" 'lerewriter = (le_rewr ? ? ?). lemma ap_rewl: ∀A:bishop_set.∀x,z,y:A. x ≈ y → y # z → x # z. @@ -49,9 +49,9 @@ intros (A x z y Exy Azy); apply bs_symmetric; apply (ap_rewl ???? Exy); apply bs_symmetric; assumption; qed. -notation > "'Ap'≪" non associative with precedence 50 for @{'aprewritel}. +notation > "'Ap'≪" non associative with precedence 55 for @{'aprewritel}. interpretation "ap_rewl" 'aprewritel = (ap_rewl ? ? ?). -notation > "'Ap'≫" non associative with precedence 50 for @{'aprewriter}. +notation > "'Ap'≫" non associative with precedence 55 for @{'aprewriter}. interpretation "ap_rewr" 'aprewriter = (ap_rewr ? ? ?). lemma exc_rewl: ∀A:ordered_set.∀x,z,y:A. x ≈ y → y ≰ z → x ≰ z. @@ -64,9 +64,9 @@ intros (A x z y Exy Azy); cases (exc_cotransitive ??x Azy); [assumption] cases (Exy); left; assumption; qed. -notation > "'Ex'≪" non associative with precedence 50 for @{'ordered_setrewritel}. +notation > "'Ex'≪" non associative with precedence 55 for @{'ordered_setrewritel}. interpretation "exc_rewl" 'ordered_setrewritel = (exc_rewl ? ? ?). -notation > "'Ex'≫" non associative with precedence 50 for @{'ordered_setrewriter}. +notation > "'Ex'≫" non associative with precedence 55 for @{'ordered_setrewriter}. interpretation "exc_rewr" 'ordered_setrewriter = (exc_rewr ? ? ?). (* @@ -80,8 +80,8 @@ intros (A x y z E H); split; cases H; [apply (Le≪ ? (eq_sym ??? E));| apply (Ap≪ ? E);] assumption; qed. -notation > "'Lt'≪" non associative with precedence 50 for @{'ltrewritel}. +notation > "'Lt'≪" non associative with precedence 55 for @{'ltrewritel}. interpretation "lt_rewl" 'ltrewritel = (lt_rewl ? ? ?). -notation > "'Lt'≫" non associative with precedence 50 for @{'ltrewriter}. +notation > "'Lt'≫" non associative with precedence 55 for @{'ltrewriter}. interpretation "lt_rewr" 'ltrewriter = (lt_rewr ? ? ?). *)