diff options
author | 2012-01-12 16:08:29 +0100 | |
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committer | 2012-01-12 16:08:29 +0100 | |
commit | 23a6061a81ffa0c214d521287b6af0a31bfa22f0 (patch) | |
tree | f1ca9ba9240b98b8695a9f1870e56602734cf97c /plugins/setoid_ring/Algebra_syntax.v | |
parent | de109d8c0c68f569b907e6e24271f259ba28888e (diff) | |
parent | 39efc41237ec906226a3a53d7396d51173495204 (diff) |
Merge commit 'upstream/8.4_beta+dfsg' into experimental/master
Diffstat (limited to 'plugins/setoid_ring/Algebra_syntax.v')
-rw-r--r-- | plugins/setoid_ring/Algebra_syntax.v | 25 |
1 files changed, 25 insertions, 0 deletions
diff --git a/plugins/setoid_ring/Algebra_syntax.v b/plugins/setoid_ring/Algebra_syntax.v new file mode 100644 index 00000000..e896554e --- /dev/null +++ b/plugins/setoid_ring/Algebra_syntax.v @@ -0,0 +1,25 @@ + +Class Zero (A : Type) := zero : A. +Notation "0" := zero. +Class One (A : Type) := one : A. +Notation "1" := one. +Class Addition (A : Type) := addition : A -> A -> A. +Notation "_+_" := addition. +Notation "x + y" := (addition x y). +Class Multiplication {A B : Type} := multiplication : A -> B -> B. +Notation "_*_" := multiplication. +Notation "x * y" := (multiplication x y). +Class Subtraction (A : Type) := subtraction : A -> A -> A. +Notation "_-_" := subtraction. +Notation "x - y" := (subtraction x y). +Class Opposite (A : Type) := opposite : A -> A. +Notation "-_" := opposite. +Notation "- x" := (opposite(x)). +Class Equality {A : Type}:= equality : A -> A -> Prop. +Notation "_==_" := equality. +Notation "x == y" := (equality x y) (at level 70, no associativity). +Class Bracket (A B: Type):= bracket : A -> B. +Notation "[ x ]" := (bracket(x)). +Class Power {A B: Type} := power : A -> B -> A. +Notation "x ^ y" := (power x y). + |