X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fdama%2Fdama%2Fbishop_set_rewrite.ma;h=27bb10f5a858a971721740b297c77bd5f879998e;hb=6d27950e804ea499909ae0fabceea99f35d118e9;hp=19518a67b6f29eb593a177f8d7817aba5863ea6e;hpb=6b843ebfba2ed19d2bf7a564a9d2fc92da880169;p=helm.git diff --git a/helm/software/matita/contribs/dama/dama/bishop_set_rewrite.ma b/helm/software/matita/contribs/dama/dama/bishop_set_rewrite.ma index 19518a67b..27bb10f5a 100644 --- a/helm/software/matita/contribs/dama/dama/bishop_set_rewrite.ma +++ b/helm/software/matita/contribs/dama/dama/bishop_set_rewrite.ma @@ -22,8 +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 = - (cic:/matita/dama/bishop_set/eq_trans.con _ _ _). +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); @@ -36,9 +35,9 @@ intro Xyz; apply Exy; left; assumption; qed. notation > "'Le'≪" non associative with precedence 50 for @{'lerewritel}. -interpretation "le_rewl" 'lerewritel = (cic:/matita/dama/bishop_set_rewrite/le_rewl.con _ _ _). +interpretation "le_rewl" 'lerewritel = (le_rewl _ _ _). notation > "'Le'≫" non associative with precedence 50 for @{'lerewriter}. -interpretation "le_rewr" 'lerewriter = (cic:/matita/dama/bishop_set_rewrite/le_rewr.con _ _ _). +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] @@ -51,24 +50,24 @@ apply bs_symmetric; assumption; qed. notation > "'Ap'≪" non associative with precedence 50 for @{'aprewritel}. -interpretation "ap_rewl" 'aprewritel = (cic:/matita/dama/bishop_set_rewrite/ap_rewl.con _ _ _). +interpretation "ap_rewl" 'aprewritel = (ap_rewl _ _ _). notation > "'Ap'≫" non associative with precedence 50 for @{'aprewriter}. -interpretation "ap_rewr" 'aprewriter = (cic:/matita/dama/bishop_set_rewrite/ap_rewr.con _ _ _). +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 (os_cotransitive ??? x Ayz); [2:assumption] +intros (A x z y Exy Ayz); cases (hos_cotransitive ??? x Ayz); [2:assumption] cases Exy; right; assumption; qed. lemma exc_rewr: ∀A:ordered_set.∀x,z,y:A. x ≈ y → z ≰ y → z ≰ x. -intros (A x z y Exy Azy); cases (os_cotransitive ???x Azy); [assumption] +intros (A x z y Exy Azy); cases (hos_cotransitive ???x Azy); [assumption] cases (Exy); left; assumption; qed. notation > "'Ex'≪" non associative with precedence 50 for @{'ordered_setrewritel}. -interpretation "exc_rewl" 'ordered_setrewritel = (cic:/matita/dama/bishop_set_rewrite/exc_rewl.con _ _ _). +interpretation "exc_rewl" 'ordered_setrewritel = (exc_rewl _ _ _). notation > "'Ex'≫" non associative with precedence 50 for @{'ordered_setrewriter}. -interpretation "exc_rewr" 'ordered_setrewriter = (cic:/matita/dama/bishop_set_rewrite/exc_rewr.con _ _ _). +interpretation "exc_rewr" 'ordered_setrewriter = (exc_rewr _ _ _). lemma lt_rewr: ∀A:ordered_set.∀x,z,y:A. x ≈ y → z < y → z < x. @@ -82,7 +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 = (cic:/matita/dama/bishop_set_rewrite/lt_rewl.con _ _ _). +interpretation "lt_rewl" 'ltrewritel = (lt_rewl _ _ _). notation > "'Lt'≫" non associative with precedence 50 for @{'ltrewriter}. -interpretation "lt_rewr" 'ltrewriter = (cic:/matita/dama/bishop_set_rewrite/lt_rewr.con _ _ _). +interpretation "lt_rewr" 'ltrewriter = (lt_rewr _ _ _).