notation "s \sup (-1)" with precedence 90 for @{ 'invert $s }.
notation > "s ^ (-1)" with precedence 90 for @{ 'invert $s }.
notation < "s \sup (-1) x" with precedence 90 for @{ 'invert_appl $s $x}.
notation "s \sup (-1)" with precedence 90 for @{ 'invert $s }.
notation > "s ^ (-1)" with precedence 90 for @{ 'invert $s }.
notation < "s \sup (-1) x" with precedence 90 for @{ 'invert_appl $s $x}.