X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Fdama%2Fdama_duality%2Flimit.ma;h=5d97d0ae63c5f44dc1a195e59cc46d1d0033f944;hb=2e97c767bc072f5ba238725ff1f738fc91a0135a;hp=0b1bd1d3b8325fceb2074ef83c2bfc19a9e26327;hpb=2c01ff6094173915e7023076ea48b5804dca7778;p=helm.git diff --git a/matita/matita/contribs/dama/dama_duality/limit.ma b/matita/matita/contribs/dama/dama_duality/limit.ma index 0b1bd1d3b..5d97d0ae6 100644 --- a/matita/matita/contribs/dama/dama_duality/limit.ma +++ b/matita/matita/contribs/dama/dama_duality/limit.ma @@ -22,10 +22,10 @@ definition limsup ≝ (∀k.(alpha k) is_strong_sup (shift ? xn k) in E) ∧ x is_strong_inf alpha in E. -notation < "x \nbsp 'is_limsup' \nbsp s" non associative with precedence 50 for @{'limsup $_ $s $x}. -notation < "x \nbsp 'is_liminf' \nbsp s" non associative with precedence 50 for @{'liminf $_ $s $x}. -notation > "x 'is_limsup' s 'in' e" non associative with precedence 50 for @{'limsup $e $s $x}. -notation > "x 'is_liminf' s 'in' e" non associative with precedence 50 for @{'liminf $e $s $x}. +notation < "x \nbsp 'is_limsup' \nbsp s" non associative with precedence 55 for @{'limsup $_ $s $x}. +notation < "x \nbsp 'is_liminf' \nbsp s" non associative with precedence 55 for @{'liminf $_ $s $x}. +notation > "x 'is_limsup' s 'in' e" non associative with precedence 55 for @{'limsup $e $s $x}. +notation > "x 'is_liminf' s 'in' e" non associative with precedence 55 for @{'liminf $e $s $x}. interpretation "Excess limsup" 'limsup e s x = (limsup e s x). interpretation "Excess liminf" 'liminf e s x = (limsup (dual_exc e) s x). @@ -34,8 +34,8 @@ interpretation "Excess liminf" 'liminf e s x = (limsup (dual_exc e) s x). definition lim ≝ λE:excess.λxn:sequence E.λx:E. x is_limsup xn in E ∧ x is_liminf xn in E. -notation < "x \nbsp 'is_lim' \nbsp s" non associative with precedence 50 for @{'lim $_ $s $x}. -notation > "x 'is_lim' s 'in' e" non associative with precedence 50 for @{'lim $e $s $x}. +notation < "x \nbsp 'is_lim' \nbsp s" non associative with precedence 55 for @{'lim $_ $s $x}. +notation > "x 'is_lim' s 'in' e" non associative with precedence 55 for @{'lim $e $s $x}. interpretation "Excess lim" 'lim e s x = (lim e s x). lemma sup_decreasing: