X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Fdama%2Fdama_duality%2Finfsup.ma;h=f03a644dc8abd40cb92a593e8b770d435b66b4f5;hb=9a023f554e56d6edbbb2eeaf17ce61e31857ef4a;hp=b5ff03f0a8d653be9899a35f56e20ce08c7c7dc0;hpb=2c01ff6094173915e7023076ea48b5804dca7778;p=helm.git diff --git a/matita/matita/contribs/dama/dama_duality/infsup.ma b/matita/matita/contribs/dama/dama_duality/infsup.ma index b5ff03f0a..f03a644dc 100644 --- a/matita/matita/contribs/dama/dama_duality/infsup.ma +++ b/matita/matita/contribs/dama/dama_duality/infsup.ma @@ -25,19 +25,19 @@ definition strong_sup ≝ definition increasing ≝ λO:excess.λa:sequence O.∀n:nat.a n ≤ a (S n). -notation < "x \nbsp 'is_upper_bound' \nbsp s" non associative with precedence 50 for @{'upper_bound $_ $s $x}. -notation < "x \nbsp 'is_lower_bound' \nbsp s" non associative with precedence 50 for @{'lower_bound $_ $s $x}. -notation < "s \nbsp 'is_increasing'" non associative with precedence 50 for @{'increasing $_ $s}. -notation < "s \nbsp 'is_decreasing'" non associative with precedence 50 for @{'decreasing $_ $s}. -notation < "x \nbsp 'is_strong_sup' \nbsp s" non associative with precedence 50 for @{'strong_sup $_ $s $x}. -notation < "x \nbsp 'is_strong_inf' \nbsp s" non associative with precedence 50 for @{'strong_inf $_ $s $x}. - -notation > "x 'is_upper_bound' s 'in' e" non associative with precedence 50 for @{'upper_bound $e $s $x}. -notation > "x 'is_lower_bound' s 'in' e" non associative with precedence 50 for @{'lower_bound $e $s $x}. -notation > "s 'is_increasing' 'in' e" non associative with precedence 50 for @{'increasing $e $s}. -notation > "s 'is_decreasing' 'in' e" non associative with precedence 50 for @{'decreasing $e $s}. -notation > "x 'is_strong_sup' s 'in' e" non associative with precedence 50 for @{'strong_sup $e $s $x}. -notation > "x 'is_strong_inf' s 'in' e" non associative with precedence 50 for @{'strong_inf $e $s $x}. +notation < "x \nbsp 'is_upper_bound' \nbsp s" non associative with precedence 55 for @{'upper_bound $_ $s $x}. +notation < "x \nbsp 'is_lower_bound' \nbsp s" non associative with precedence 55 for @{'lower_bound $_ $s $x}. +notation < "s \nbsp 'is_increasing'" non associative with precedence 55 for @{'increasing $_ $s}. +notation < "s \nbsp 'is_decreasing'" non associative with precedence 55 for @{'decreasing $_ $s}. +notation < "x \nbsp 'is_strong_sup' \nbsp s" non associative with precedence 55 for @{'strong_sup $_ $s $x}. +notation < "x \nbsp 'is_strong_inf' \nbsp s" non associative with precedence 55 for @{'strong_inf $_ $s $x}. + +notation > "x 'is_upper_bound' s 'in' e" non associative with precedence 55 for @{'upper_bound $e $s $x}. +notation > "x 'is_lower_bound' s 'in' e" non associative with precedence 55 for @{'lower_bound $e $s $x}. +notation > "s 'is_increasing' 'in' e" non associative with precedence 55 for @{'increasing $e $s}. +notation > "s 'is_decreasing' 'in' e" non associative with precedence 55 for @{'decreasing $e $s}. +notation > "x 'is_strong_sup' s 'in' e" non associative with precedence 55 for @{'strong_sup $e $s $x}. +notation > "x 'is_strong_inf' s 'in' e" non associative with precedence 55 for @{'strong_inf $e $s $x}. interpretation "Excess upper bound" 'upper_bound e s x = (upper_bound e s x). interpretation "Excess lower bound" 'lower_bound e s x = (upper_bound (dual_exc e) s x).