diff options
Diffstat (limited to 'theories/Numbers/Integer')
| -rw-r--r-- | theories/Numbers/Integer/Abstract/ZAxioms.v | 2 | ||||
| -rw-r--r-- | theories/Numbers/Integer/Abstract/ZDivEucl.v | 4 | ||||
| -rw-r--r-- | theories/Numbers/Integer/Abstract/ZDivFloor.v | 4 | ||||
| -rw-r--r-- | theories/Numbers/Integer/Abstract/ZDivTrunc.v | 4 |
4 files changed, 7 insertions, 7 deletions
diff --git a/theories/Numbers/Integer/Abstract/ZAxioms.v b/theories/Numbers/Integer/Abstract/ZAxioms.v index 4acb45401..4b3d18be4 100644 --- a/theories/Numbers/Integer/Abstract/ZAxioms.v +++ b/theories/Numbers/Integer/Abstract/ZAxioms.v @@ -19,7 +19,7 @@ Include Type NZOrdAxiomsSig. Local Open Scope NumScope. Parameter Inline opp : t -> t. -Instance opp_wd : Proper (eq==>eq) opp. +Declare Instance opp_wd : Proper (eq==>eq) opp. Notation "- x" := (opp x) (at level 35, right associativity) : NumScope. Notation "- 1" := (- (1)) : NumScope. diff --git a/theories/Numbers/Integer/Abstract/ZDivEucl.v b/theories/Numbers/Integer/Abstract/ZDivEucl.v index 0f15e9a29..2ec1cc9b0 100644 --- a/theories/Numbers/Integer/Abstract/ZDivEucl.v +++ b/theories/Numbers/Integer/Abstract/ZDivEucl.v @@ -33,8 +33,8 @@ Module Type ZDiv (Import Z : ZAxiomsSig). 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. Definition abs z := max z (-z). diff --git a/theories/Numbers/Integer/Abstract/ZDivFloor.v b/theories/Numbers/Integer/Abstract/ZDivFloor.v index b4a8a4203..473631293 100644 --- a/theories/Numbers/Integer/Abstract/ZDivFloor.v +++ b/theories/Numbers/Integer/Abstract/ZDivFloor.v @@ -36,8 +36,8 @@ Module Type ZDiv (Import Z : ZAxiomsSig). 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_pos_bound : forall a b, 0 < b -> 0 <= a mod b < b. diff --git a/theories/Numbers/Integer/Abstract/ZDivTrunc.v b/theories/Numbers/Integer/Abstract/ZDivTrunc.v index fe2b262f2..2522f70c1 100644 --- a/theories/Numbers/Integer/Abstract/ZDivTrunc.v +++ b/theories/Numbers/Integer/Abstract/ZDivTrunc.v @@ -36,8 +36,8 @@ Module Type ZDiv (Import Z : ZAxiomsSig). 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_bound : forall a b, 0<=a -> 0<b -> 0 <= a mod b < b. |