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authorGravatar Enrico Tassi <gareuselesinge@debian.org>2015-01-25 14:42:51 +0100
committerGravatar Enrico Tassi <gareuselesinge@debian.org>2015-01-25 14:42:51 +0100
commit7cfc4e5146be5666419451bdd516f1f3f264d24a (patch)
treee4197645da03dc3c7cc84e434cc31d0a0cca7056 /test-suite/bugs/closed/HoTT_coq_050.v
parent420f78b2caeaaddc6fe484565b2d0e49c66888e5 (diff)
Imported Upstream version 8.5~beta1+dfsg
Diffstat (limited to 'test-suite/bugs/closed/HoTT_coq_050.v')
-rw-r--r--test-suite/bugs/closed/HoTT_coq_050.v33
1 files changed, 33 insertions, 0 deletions
diff --git a/test-suite/bugs/closed/HoTT_coq_050.v b/test-suite/bugs/closed/HoTT_coq_050.v
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+++ b/test-suite/bugs/closed/HoTT_coq_050.v
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+Set Implicit Arguments.
+Generalizable All Variables.
+Set Asymmetric Patterns.
+Set Universe Polymorphism.
+Set Printing Universes.
+
+Set Printing All.
+
+Record PreCategory :=
+ {
+ Object :> Type;
+ Morphism : Object -> Object -> Type
+ }.
+
+Inductive paths A (x : A) : A -> Type := idpath : @paths A x x.
+Inductive Unit : Prop := tt. (* Changing this to [Set] fixes things *)
+Inductive Bool : Set := true | false.
+
+Definition DiscreteCategory X : PreCategory
+ := @Build_PreCategory X
+ (@paths X).
+
+Definition IndiscreteCategory X : PreCategory
+ := @Build_PreCategory X
+ (fun _ _ => Unit).
+
+Check (IndiscreteCategory Unit).
+Check (DiscreteCategory Bool).
+Definition NatCategory (n : nat) :=
+ match n with
+ | 0 => IndiscreteCategory Unit
+ | _ => DiscreteCategory Bool
+ end. (* Error: Universe inconsistency (cannot enforce Set <= Prop). *)