diff options
Diffstat (limited to 'theories/Numbers/Natural/SpecViaZ')
| -rw-r--r-- | theories/Numbers/Natural/SpecViaZ/NSig.v | 7 |
1 files changed, 7 insertions, 0 deletions
diff --git a/theories/Numbers/Natural/SpecViaZ/NSig.v b/theories/Numbers/Natural/SpecViaZ/NSig.v index 116927766..85639aa6a 100644 --- a/theories/Numbers/Natural/SpecViaZ/NSig.v +++ b/theories/Numbers/Natural/SpecViaZ/NSig.v @@ -55,6 +55,9 @@ Module Type NType. Parameter div : t -> t -> t. Parameter modulo : t -> t -> t. Parameter gcd : t -> t -> t. + Parameter shiftr : t -> t -> t. + Parameter shiftl : t -> t -> t. + Parameter is_even : t -> bool. Parameter spec_compare: forall x y, compare x y = Zcompare [x] [y]. Parameter spec_eq_bool: forall x y, eq_bool x y = Zeq_bool [x] [y]. @@ -76,6 +79,10 @@ Module Type NType. Parameter spec_div: forall x y, [div x y] = [x] / [y]. Parameter spec_modulo: forall x y, [modulo x y] = [x] mod [y]. Parameter spec_gcd: forall a b, [gcd a b] = Zgcd [a] [b]. + Parameter spec_shiftr: forall p x, [shiftr p x] = [x] / 2^[p]. + Parameter spec_shiftl: forall p x, [shiftl p x] = [x] * 2^[p]. + Parameter spec_is_even: forall x, + if is_even x then [x] mod 2 = 0 else [x] mod 2 = 1. End NType. |