diff options
Diffstat (limited to 'theories/Arith/Min.v')
| -rwxr-xr-x | theories/Arith/Min.v | 10 |
1 files changed, 4 insertions, 6 deletions
diff --git a/theories/Arith/Min.v b/theories/Arith/Min.v index 56d254c481..8a5de8703a 100755 --- a/theories/Arith/Min.v +++ b/theories/Arith/Min.v @@ -10,9 +10,7 @@ Require Arith. -(**************************************************************************) -(* minimum of two natural numbers *) -(**************************************************************************) +(** minimum of two natural numbers *) Fixpoint min [n:nat] : nat -> nat := [m:nat]Cases n m of @@ -21,7 +19,7 @@ Fixpoint min [n:nat] : nat -> nat := | (S n') (S m') => (S (min n' m')) end. -(* Simplifications of min *) +(** Simplifications of [min] *) Lemma min_SS : (n,m:nat)((S (min n m))=(min (S n) (S m))). Proof. @@ -33,7 +31,7 @@ Proof. NewInduction n;NewInduction m;Simpl;Auto with arith. Qed. -(* min and le *) +(** [min] and [le] *) Lemma min_l : (n,m:nat)(le n m)->(min n m)=n. Proof. @@ -58,7 +56,7 @@ NewInduction m; Simpl; Auto with arith. Qed. Hints Resolve min_l min_r le_min_l le_min_r : arith v62. -(* min n m is equal to n or m *) +(** [min n m] is equal to [n] or [m] *) Lemma min_dec : (n,m:nat){(min n m)=n}+{(min n m)=m}. Proof. |