From c690a68ba0b78b913cbcb60f7508d431071d4c79 Mon Sep 17 00:00:00 2001 From: Vincent Semeria Date: Fri, 4 Oct 2019 18:29:58 +0200 Subject: Replace classical reals quotient axioms by functional extensionality. Define homotopy propositions and homotopy sets. Rename local variable R in test Nsatz, to avoid a name collision with the type of real numbers. --- test-suite/success/Nsatz.v | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) (limited to 'test-suite') diff --git a/test-suite/success/Nsatz.v b/test-suite/success/Nsatz.v index 381fbabe72..998f3f7dd1 100644 --- a/test-suite/success/Nsatz.v +++ b/test-suite/success/Nsatz.v @@ -419,13 +419,13 @@ Qed. -Lemma Desargues: forall A B C A1 B1 C1 P Q R S:point, +Lemma Desargues: forall A B C A1 B1 C1 P Q T S:point, X S = 0 -> Y S = 0 -> Y A = 0 -> collinear A S A1 -> collinear B S B1 -> collinear C S C1 -> collinear B1 C1 P -> collinear B C P -> collinear A1 C1 Q -> collinear A C Q -> - collinear A1 B1 R -> collinear A B R -> - collinear P Q R + collinear A1 B1 T -> collinear A B T -> + collinear P Q T \/ X A = X B \/ X A = X C \/ X B = X C \/ X A = 0 \/ Y B = 0 \/ Y C = 0 \/ collinear S B C \/ parallel A C A1 C1 \/ parallel A B A1 B1. Proof. @@ -440,8 +440,8 @@ let lv := rev (X A :: Y A1 :: X A1 :: Y B1 :: Y C1 - :: X R - :: Y R + :: X T + :: Y T :: X Q :: Y Q :: X P :: Y P :: X C1 :: X B1 :: nil) in nsatz with radicalmax :=1%N strategy:=0%Z -- cgit v1.2.3