diff options
Diffstat (limited to 'theories/Logic')
| -rw-r--r-- | theories/Logic/ChoiceFacts.v | 8 | ||||
| -rw-r--r-- | theories/Logic/ClassicalUniqueChoice.v | 6 |
2 files changed, 7 insertions, 7 deletions
diff --git a/theories/Logic/ChoiceFacts.v b/theories/Logic/ChoiceFacts.v index ef59a4e69..b2c4a049d 100644 --- a/theories/Logic/ChoiceFacts.v +++ b/theories/Logic/ChoiceFacts.v @@ -50,9 +50,9 @@ description principles We let also -IPL_2 = 2nd-order impredicative minimal predicate logic (with ex. quant.) -IPL^2 = 2nd-order functional minimal predicate logic (with ex. quant.) -IPL_2^2 = 2nd-order impredicative, 2nd-order functional minimal pred. logic (with ex. quant.) +- IPL_2 = 2nd-order impredicative minimal predicate logic (with ex. quant.) +- IPL^2 = 2nd-order functional minimal predicate logic (with ex. quant.) +- IPL_2^2 = 2nd-order impredicative, 2nd-order functional minimal pred. logic (with ex. quant.) with no prerequisite on the non-emptyness of domains @@ -86,7 +86,7 @@ unpublished. [[Bell93]] John L. Bell, Hilbert's Epsilon Operator in Intuitionistic Type Theories, Mathematical Logic Quarterly, volume 39, 1993. -[Carlström05] Jesper Carlström, Interpreting descriptions in +[[Carlström05]] Jesper Carlström, Interpreting descriptions in intentional type theory, Journal of Symbolic Logic 70(2):488-514, 2005. *) diff --git a/theories/Logic/ClassicalUniqueChoice.v b/theories/Logic/ClassicalUniqueChoice.v index 2a32323cb..4a7bd2ccc 100644 --- a/theories/Logic/ClassicalUniqueChoice.v +++ b/theories/Logic/ClassicalUniqueChoice.v @@ -16,11 +16,11 @@ be used to build functions outside the scope of a theorem proof) *) (** Classical logic and unique choice, as shown in - [ChicliPottierSimpson02], implies the double-negation of + [[ChicliPottierSimpson02]], implies the double-negation of excluded-middle in [Set], hence it implies a strongly classical world. Especially it conflicts with the impredicativity of [Set]. - [ChicliPottierSimpson02] Laurent Chicli, Loïc Pottier, Carlos + [[ChicliPottierSimpson02]] Laurent Chicli, Loïc Pottier, Carlos Simpson, Mathematical Quotients and Quotient Types in Coq, Proceedings of TYPES 2002, Lecture Notes in Computer Science 2646, Springer Verlag. *) @@ -44,7 +44,7 @@ intros A B. apply (dependent_unique_choice A (fun _ => B)). Qed. -(** The following proof comes from [ChicliPottierSimpson02] *) +(** The following proof comes from [[ChicliPottierSimpson02]] *) Require Import Setoid. |