diff options
Diffstat (limited to 'theories/Logic/ChoiceFacts.v')
| -rw-r--r-- | theories/Logic/ChoiceFacts.v | 8 |
1 files changed, 4 insertions, 4 deletions
diff --git a/theories/Logic/ChoiceFacts.v b/theories/Logic/ChoiceFacts.v index a1f4417c..87d8a70e 100644 --- a/theories/Logic/ChoiceFacts.v +++ b/theories/Logic/ChoiceFacts.v @@ -6,14 +6,14 @@ (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: ChoiceFacts.v,v 1.7.2.1 2004/07/16 19:31:06 herbelin Exp $ i*) +(*i $Id: ChoiceFacts.v,v 1.7.2.2 2004/08/01 09:29:59 herbelin Exp $ i*) -(* We show that the functional formulation of the axiom of Choice +(** We show that the functional formulation of the axiom of Choice (usual formulation in type theory) is equivalent to its relational formulation (only formulation of set theory) + the axiom of (parametric) definite description (aka axiom of unique choice) *) -(* This shows that the axiom of choice can be assumed (under its +(** This shows that the axiom of choice can be assumed (under its relational formulation) without known inconsistency with classical logic, though definite description conflicts with classical logic *) @@ -80,7 +80,7 @@ intro H; split; intros [H H0]; exact (description_rel_choice_imp_funct_choice H0 H). Qed. -(* We show that the guarded relational formulation of the axiom of Choice +(** We show that the guarded relational formulation of the axiom of Choice comes from the non guarded formulation in presence either of the independance of premises or proof-irrelevance *) |