diff options
Diffstat (limited to 'test-suite/bugs/closed/HoTT_coq_053.v')
-rw-r--r-- | test-suite/bugs/closed/HoTT_coq_053.v | 50 |
1 files changed, 50 insertions, 0 deletions
diff --git a/test-suite/bugs/closed/HoTT_coq_053.v b/test-suite/bugs/closed/HoTT_coq_053.v new file mode 100644 index 00000000..a14fb6aa --- /dev/null +++ b/test-suite/bugs/closed/HoTT_coq_053.v @@ -0,0 +1,50 @@ +(* -*- mode: coq; coq-prog-args: ("-emacs" "-indices-matter") -*- *) +Set Printing Universes. +Set Implicit Arguments. +Generalizable All Variables. +Set Asymmetric Patterns. +Set Universe Polymorphism. + +Inductive Unit : Type := + tt : Unit. + +Inductive Bool : Type := + | true : Bool + | false : Bool. + +Inductive paths {A : Type} (a : A) : A -> Type := + idpath : paths a a. + +Record PreCategory := + { + Object :> Type; + Morphism : Object -> Object -> Type + }. + +Definition DiscreteCategory X : PreCategory + := @Build_PreCategory X + (@paths X). + +Definition IndiscreteCategory X : PreCategory + := @Build_PreCategory X + (fun _ _ => Unit). + +Definition NatCategory (n : nat) := + match n with + | 0 => IndiscreteCategory Unit + | _ => DiscreteCategory Bool + end. +(* Error: Universe inconsistency (cannot enforce Set <= Prop).*) + +Definition NatCategory' (n : nat) := + match n with + | 0 => (fun X => @Build_PreCategory X + (fun _ _ => Unit : Prop)) Unit + | _ => DiscreteCategory Bool + end. + +Definition NatCategory'' (n : nat) := + match n with + | 0 => IndiscreteCategory Unit + | _ => DiscreteCategory Bool + end. |