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authorGravatar Hugo Herbelin <Hugo.Herbelin@inria.fr>2016-10-02 21:30:29 +0200
committerGravatar Hugo Herbelin <Hugo.Herbelin@inria.fr>2017-03-03 05:46:37 +0100
commita0bd33bdb81271025494d3f7ac7ae20bd6671579 (patch)
treecda6166237e62a8aa3ae34ae162f0b8ba46fb560 /theories/Logic
parentbdc74cd1b945b69f81264cb6df8eb793c0c6817f (diff)
Formatting references with surrounding brackets in Diaconescu.v.
Diffstat (limited to 'theories/Logic')
-rw-r--r--theories/Logic/Diaconescu.v20
1 files changed, 10 insertions, 10 deletions
diff --git a/theories/Logic/Diaconescu.v b/theories/Logic/Diaconescu.v
index 23af5afc6..896be7c33 100644
--- a/theories/Logic/Diaconescu.v
+++ b/theories/Logic/Diaconescu.v
@@ -8,9 +8,9 @@
(************************************************************************)
(** Diaconescu showed that the Axiom of Choice entails Excluded-Middle
- in topoi [Diaconescu75]. Lacas and Werner adapted the proof to show
+ in topoi [[Diaconescu75]]. Lacas and Werner adapted the proof to show
that the axiom of choice in equivalence classes entails
- Excluded-Middle in Type Theory [LacasWerner99].
+ Excluded-Middle in Type Theory [[LacasWerner99]].
Three variants of Diaconescu's result in type theory are shown below.
@@ -23,22 +23,22 @@
Benjamin Werner)
C. A proof that extensional Hilbert epsilon's description operator
- entails excluded-middle (taken from Bell [Bell93])
+ entails excluded-middle (taken from Bell [[Bell93]])
- See also [Carlström] for a discussion of the connection between the
+ See also [[Carlström04]] for a discussion of the connection between the
Extensional Axiom of Choice and Excluded-Middle
- [Diaconescu75] Radu Diaconescu, Axiom of Choice and Complementation,
+ [[Diaconescu75]] Radu Diaconescu, Axiom of Choice and Complementation,
in Proceedings of AMS, vol 51, pp 176-178, 1975.
- [LacasWerner99] Samuel Lacas, Benjamin Werner, Which Choices imply
+ [[LacasWerner99]] Samuel Lacas, Benjamin Werner, Which Choices imply
the excluded middle?, preprint, 1999.
- [Bell93] John L. Bell, Hilbert's epsilon operator and classical
+ [[Bell93]] John L. Bell, Hilbert's epsilon operator and classical
logic, Journal of Philosophical Logic, 22: 1-18, 1993
- [Carlström04] Jesper Carlström, EM + Ext_ + AC_int <-> AC_ext,
- Mathematical Logic Quaterly, vol 50(3), pp 236-240, 2004.
+ [[Carlström04]] Jesper Carlström, EM + Ext_ + AC_int is equivalent
+ to AC_ext, Mathematical Logic Quaterly, vol 50(3), pp 236-240, 2004.
*)
(**********************************************************************)
@@ -263,7 +263,7 @@ End ProofIrrel_RelChoice_imp_EqEM.
(**********************************************************************)
(** * Extensional Hilbert's epsilon description operator -> Excluded-Middle *)
-(** Proof sketch from Bell [Bell93] (with thanks to P. Castéran) *)
+(** Proof sketch from Bell [[Bell93]] (with thanks to P. Castéran) *)
Local Notation inhabited A := A (only parsing).