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Diffstat (limited to 'theories/Reals/LegacyRfield.v')
-rw-r--r-- | theories/Reals/LegacyRfield.v | 38 |
1 files changed, 0 insertions, 38 deletions
diff --git a/theories/Reals/LegacyRfield.v b/theories/Reals/LegacyRfield.v deleted file mode 100644 index cc8a8f7c..00000000 --- a/theories/Reals/LegacyRfield.v +++ /dev/null @@ -1,38 +0,0 @@ -(************************************************************************) -(* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014 *) -(* \VV/ **************************************************************) -(* // * This file is distributed under the terms of the *) -(* * GNU Lesser General Public License Version 2.1 *) -(************************************************************************) - -Require Export Raxioms. -Require Export LegacyField. -Import LegacyRing_theory. - -Section LegacyRfield. - -Open Scope R_scope. - -Lemma RLegacyTheory : Ring_Theory Rplus Rmult 1 0 Ropp (fun x y:R => false). - split. - exact Rplus_comm. - symmetry ; apply Rplus_assoc. - exact Rmult_comm. - symmetry ; apply Rmult_assoc. - intro; apply Rplus_0_l. - intro; apply Rmult_1_l. - exact Rplus_opp_r. - intros. - rewrite Rmult_comm. - rewrite (Rmult_comm n p). - rewrite (Rmult_comm m p). - apply Rmult_plus_distr_l. - intros; contradiction. -Defined. - -End LegacyRfield. - -Add Legacy Field -R Rplus Rmult 1%R 0%R Ropp (fun x y:R => false) Rinv RLegacyTheory Rinv_l - with minus := Rminus div := Rdiv. |