diff options
Diffstat (limited to 'theories/Reals/Raxioms.v')
| -rw-r--r-- | theories/Reals/Raxioms.v | 14 |
1 files changed, 7 insertions, 7 deletions
diff --git a/theories/Reals/Raxioms.v b/theories/Reals/Raxioms.v index 6667d2ec..9715414f 100644 --- a/theories/Reals/Raxioms.v +++ b/theories/Reals/Raxioms.v @@ -6,7 +6,7 @@ (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Raxioms.v 10710 2008-03-23 09:24:09Z herbelin $ i*) +(*i $Id$ i*) (*********************************************************) (** Axiomatisation of the classical reals *) @@ -40,13 +40,13 @@ Hint Resolve Rplus_opp_r: real v62. Axiom Rplus_0_l : forall r:R, 0 + r = r. Hint Resolve Rplus_0_l: real. -(***********************************************************) +(***********************************************************) (** ** Multiplication *) (***********************************************************) (**********) Axiom Rmult_comm : forall r1 r2:R, r1 * r2 = r2 * r1. -Hint Resolve Rmult_comm: real v62. +Hint Resolve Rmult_comm: real v62. (**********) Axiom Rmult_assoc : forall r1 r2 r3:R, r1 * r2 * r3 = r1 * (r2 * r3). @@ -102,7 +102,7 @@ Axiom Hint Resolve Rlt_asym Rplus_lt_compat_l Rmult_lt_compat_l: real. -(**********************************************************) +(**********************************************************) (** * Injection from N to R *) (**********************************************************) @@ -112,11 +112,11 @@ Boxed Fixpoint INR (n:nat) : R := | O => 0 | S O => 1 | S n => INR n + 1 - end. + end. Arguments Scope INR [nat_scope]. -(**********************************************************) +(**********************************************************) (** * Injection from [Z] to [R] *) (**********************************************************) @@ -126,7 +126,7 @@ Definition IZR (z:Z) : R := | Z0 => 0 | Zpos n => INR (nat_of_P n) | Zneg n => - INR (nat_of_P n) - end. + end. Arguments Scope IZR [Z_scope]. (**********************************************************) |