diff options
Diffstat (limited to 'theories/Numbers/Natural')
| -rw-r--r-- | theories/Numbers/Natural/Abstract/NAxioms.v | 2 | ||||
| -rw-r--r-- | theories/Numbers/Natural/Abstract/NDiv.v | 4 |
2 files changed, 3 insertions, 3 deletions
diff --git a/theories/Numbers/Natural/Abstract/NAxioms.v b/theories/Numbers/Natural/Abstract/NAxioms.v index bdabb1086..1cb474674 100644 --- a/theories/Numbers/Natural/Abstract/NAxioms.v +++ b/theories/Numbers/Natural/Abstract/NAxioms.v @@ -23,7 +23,7 @@ Axiom pred_0 : P 0 == 0. Parameter Inline recursion : forall A : Type, A -> (t -> A -> A) -> t -> A. Implicit Arguments recursion [A]. -Instance recursion_wd (A : Type) (Aeq : relation A) : +Declare Instance recursion_wd (A : Type) (Aeq : relation A) : Proper (Aeq ==> (eq==>Aeq==>Aeq) ==> eq ==> Aeq) (@recursion A). Axiom recursion_0 : diff --git a/theories/Numbers/Natural/Abstract/NDiv.v b/theories/Numbers/Natural/Abstract/NDiv.v index 9ff9c08cf..1aa10958f 100644 --- a/theories/Numbers/Natural/Abstract/NDiv.v +++ b/theories/Numbers/Natural/Abstract/NDiv.v @@ -20,8 +20,8 @@ Module Type NDiv (Import N : NAxiomsSig). Infix "/" := div : NumScope. Infix "mod" := modulo (at level 40, no associativity) : NumScope. - Instance div_wd : Proper (eq==>eq==>eq) div. - Instance mod_wd : Proper (eq==>eq==>eq) modulo. + Declare Instance div_wd : Proper (eq==>eq==>eq) div. + Declare Instance mod_wd : Proper (eq==>eq==>eq) modulo. Axiom div_mod : forall a b, b ~= 0 -> a == b*(a/b) + (a mod b). Axiom mod_upper_bound : forall a b, b ~= 0 -> a mod b < b. |