-notation "hvbox(a break \to b)"
- right associative with precedence 20
-for @{ \forall $_:$a.$b }.
-
-notation < "hvbox(a break \to b)"
- right associative with precedence 20
-for @{ \Pi $_:$a.$b }.
-
-notation "hvbox(a break = b)"
- non associative with precedence 45
-for @{ 'eq $a $b }.
-
-notation "hvbox(a break \leq b)"
- non associative with precedence 45
-for @{ 'leq $a $b }.
-
-notation "hvbox(a break \geq b)"
- non associative with precedence 45
-for @{ 'geq $a $b }.
-
-notation "hvbox(a break \lt b)"
- non associative with precedence 45
-for @{ 'lt $a $b }.
-
-notation "hvbox(a break \gt b)"
- non associative with precedence 45
-for @{ 'gt $a $b }.
-
-notation "hvbox(a break \neq b)"
- non associative with precedence 45
-for @{ 'neq $a $b }.
-
-notation "hvbox(a break + b)"
- left associative with precedence 50
-for @{ 'plus $a $b }.
-
-notation "hvbox(a break - b)"
- left associative with precedence 50
-for @{ 'minus $a $b }.
-
-notation "hvbox(a break * b)"
- left associative with precedence 55
-for @{ 'times $a $b }.
-
-notation "hvbox(a break / b)"
- left associative with precedence 55
-for @{ 'divide $a $b }.
-
-notation "\frac a b"
- non associative with precedence 90
-for @{ 'divide $a $b }.
-
-notation "a \over b"
- left associative with precedence 55
-for @{ 'divide $a $b }.
-
-notation "- a"
- non associative with precedence 60
-for @{ 'uminus $a }.
-
-notation "\sqrt a"
- non associative with precedence 60
-for @{ 'sqrt $a }.
-
-notation "hvbox(a break \lor b)"
- left associative with precedence 30
-for @{ 'or $a $b }.
-
-notation "hvbox(a break \land b)"
- left associative with precedence 35
-for @{ 'and $a $b }.
-
-notation "hvbox(\lnot a)"
- left associative with precedence 40
-for @{ 'not $a }.
-
-(* aritmetic operators *)
-
-interpretation "Coq's natural plus" 'plus x y = (cic:/Coq/Init/Peano/plus.con x y).
-interpretation "Coq's real plus" 'plus x y = (cic:/Coq/Reals/Rdefinitions/Rplus.con x y).
-interpretation "Coq's binary integer plus" 'plus x y = (cic:/Coq/ZArith/BinInt/Zplus.con x y).
-interpretation "Coq's binary positive plus" 'plus x y = (cic:/Coq/NArith/BinPos/Pplus.con x y).
-interpretation "Coq's natural minus" 'minus x y = (cic:/Coq/Init/Peano/minus.con x y).
-interpretation "Coq's real minus" 'minus x y = (cic:/Coq/Reals/Rdefinitions/Rminus.con x y).
-interpretation "Coq's binary integer minus" 'minus x y = (cic:/Coq/ZArith/BinInt/Zminus.con x y).
-interpretation "Coq's binary positive minus" 'minus x y = (cic:/Coq/NArith/BinPos/Pminus.con x y).
-interpretation "Coq's natural times" 'times x y = (cic:/Coq/Init/Peano/mult.con x y).
-interpretation "Coq's real times" 'times x y = (cic:/Coq/Reals/Rdefinitions/Rmult.con x y).
-interpretation "Coq's binary positive times" 'times x y = (cic:/Coq/NArith/BinPos/Pmult.con x y).
-interpretation "Coq's binary integer times" 'times x y = (cic:/Coq/ZArith/BinInt/Zmult.con x y).
-interpretation "Coq's real power" 'power x y = (cic:/Coq/Reals/Rfunctions/pow.con x y).
-interpretation "Coq's integer power" 'power x y = (cic:/Coq/ZArith/Zpower/Zpower.con x y).
-interpretation "Coq's real divide" 'divide x y = (cic:/Coq/Reals/Rdefinitions/Rdiv.con x y).
-interpretation "Coq's real unary minus" 'uminus x = (cic:/Coq/Reals/Rdefinitions/Ropp.con x).
-interpretation "Coq's binary integer negative sign" 'uminus x = (cic:/Coq/ZArith/BinInt/Z.ind#xpointer(1/1/3) x).
-interpretation "Coq's binary integer unary minus" 'uminus x = (cic:/Coq/ZArith/BinInt/Zopp.con x).
-
-(* logical operators *)
-
-interpretation "Coq's logical and" 'and x y = (cic:/Coq/Init/Logic/and.ind#xpointer(1/1) x y).
-interpretation "Coq's logical or" 'or x y = (cic:/Coq/Init/Logic/or.ind#xpointer(1/1) x y).
-interpretation "Coq's logical not" 'not x = (cic:/Coq/Init/Logic/not.con x).
-interpretation "Coq's exists" 'exists x y = (cic:/Coq/Init/Logic/ex.ind#xpointer(1/1) x y).
-
-(* relational operators *)
-
-interpretation "Coq's natural 'less or equal to'" 'leq x y = (cic:/Coq/Init/Peano/le.ind#xpointer(1/1) x y).
-interpretation "Coq's real 'less or equal to'" 'leq x y = (cic:/Coq/Reals/Rdefinitions/Rle.con x y).
-interpretation "Coq's natural 'greater or equal to'" 'geq x y = (cic:/Coq/Init/Peano/ge.con x y).
-interpretation "Coq's real 'greater or equal to'" 'geq x y = (cic:/Coq/Reals/Rdefinitions/Rge.con x y).
-interpretation "Coq's natural 'less than'" 'lt x y = (cic:/Coq/Init/Peano/lt.con x y).
-interpretation "Coq's real 'less than'" 'lt x y = (cic:/Coq/Reals/Rdefinitions/Rlt.con x y).
-interpretation "Coq's natural 'greater than'" 'gt x y = (cic:/Coq/Init/Peano/gt.con x y).
-interpretation "Coq's real 'greater than'" 'gt x y = (cic:/Coq/Reals/Rdefinitions/Rgt.con x y).
-
-interpretation "Coq's leibnitz's equality" 'eq x y = (cic:/Coq/Init/Logic/eq.ind#xpointer(1/1) _ x y).
-interpretation "Coq's not equal to (leibnitz)" 'neq x y = (cic:/Coq/Init/Logic/not.con (cic:/Coq/Init/Logic/eq.ind#xpointer(1/1) _ x y)).
-