From c09f4b75c1c924098cafe7ef23cdb7871a56692d Mon Sep 17 00:00:00 2001 From: herbelin Date: Thu, 15 Mar 2007 16:37:07 +0000 Subject: Typos git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@9708 85f007b7-540e-0410-9357-904b9bb8a0f7 --- theories/Logic/ClassicalFacts.v | 12 ++++++++---- 1 file changed, 8 insertions(+), 4 deletions(-) diff --git a/theories/Logic/ClassicalFacts.v b/theories/Logic/ClassicalFacts.v index 896fddc75c..ad91718439 100644 --- a/theories/Logic/ClassicalFacts.v +++ b/theories/Logic/ClassicalFacts.v @@ -31,8 +31,8 @@ Table of contents: 3.1. Weak excluded middle -3.2. Gödel-Dummet axiom and right distributivity of implication over - disjunction +3.2. Gödel-Dummett axiom and right distributivity of implication over + disjunction 3 3. Independence of general premises and drinker's paradox @@ -396,7 +396,7 @@ End Proof_irrelevance_CCI. (** We show the following increasing in the strength of axioms: - weak excluded-middle - - right distributivity of implication over disjunction and Gödel-Dummet axiom + - right distributivity of implication over disjunction and Gödel-Dummett axiom - independence of general premises and drinker's paradox - excluded-middle *) @@ -533,7 +533,11 @@ Proof. Qed. (** Independence of general premises is weaker than (generalized) - excluded middle *) + excluded middle + +Remark: generalized excluded middle is preferred here to avoid relying on +the "ex falso quodlibet" property (i.e. [False -> forall A, A]) +*) Definition generalized_excluded_middle := forall A B:Prop, A \/ (A -> B). -- cgit v1.2.3