From 2be53251b7997eda2557a8bb938590f4c8ba24b8 Mon Sep 17 00:00:00 2001 From: mayero Date: Fri, 20 Apr 2001 19:53:19 +0000 Subject: test Fourier, DiscrR git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@1659 85f007b7-540e-0410-9357-904b9bb8a0f7 --- test-suite/success/DiscrR.v | 41 +++++++++++++++++++++++++++++++++++++++++ test-suite/success/Fourier.v | 16 ++++++++++++++++ 2 files changed, 57 insertions(+) create mode 100644 test-suite/success/DiscrR.v create mode 100644 test-suite/success/Fourier.v diff --git a/test-suite/success/DiscrR.v b/test-suite/success/DiscrR.v new file mode 100644 index 0000000000..5d12098f22 --- /dev/null +++ b/test-suite/success/DiscrR.v @@ -0,0 +1,41 @@ +Require Reals. +Require DiscrR. + +Lemma ex0: ``1<>0``. +Proof. + DiscrR. +Save. + +Lemma ex1: ``0<>2``. +Proof. + DiscrR. +Save. +Lemma ex2: ``4<>3``. +Proof. + DiscrR. +Save. + +Lemma ex3: ``3<>5``. +Proof. + DiscrR. +Save. + +Lemma ex4: ``-1<>0``. +Proof. + DiscrR. +Save. + +Lemma ex5: ``-2<>-3``. +Proof. + DiscrR. +Save. + +Lemma ex6: ``8<>-3``. +Proof. + DiscrR. +Save. + +Lemma ex7: ``-8<>3``. +Proof. + DiscrR. +Save. diff --git a/test-suite/success/Fourier.v b/test-suite/success/Fourier.v new file mode 100644 index 0000000000..e522cb74f0 --- /dev/null +++ b/test-suite/success/Fourier.v @@ -0,0 +1,16 @@ +Require SplitAbsolu. +Require Fourier. + +Lemma l1: + (x, y, z : R) + ``(Rabsolu x-z) <= (Rabsolu x-y)+(Rabsolu y-z)``. +Intros; SplitAbsolu; Fourier. +Qed. + +Lemma l2: + (x, y : R) + ``x < (Rabsolu y)`` -> + ``y < 1`` -> ``x >= 0`` -> ``-y <= 1`` -> ``(Rabsolu x) <= 1``. +Intros. +SplitAbsolu; Fourier. +Qed. -- cgit v1.2.3