From 9ebf44d84754adc5b64fcf612c6816c02c80462d Mon Sep 17 00:00:00 2001 From: Benjamin Barenblat Date: Sat, 2 Feb 2019 19:29:23 -0500 Subject: Imported Upstream version 8.9.0 --- test-suite/bugs/closed/7900.v | 53 +++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 53 insertions(+) create mode 100644 test-suite/bugs/closed/7900.v (limited to 'test-suite/bugs/closed/7900.v') diff --git a/test-suite/bugs/closed/7900.v b/test-suite/bugs/closed/7900.v new file mode 100644 index 00000000..583ef0ef --- /dev/null +++ b/test-suite/bugs/closed/7900.v @@ -0,0 +1,53 @@ +Require Import Coq.Program.Program. +(* Set Universe Polymorphism. *) +Set Printing Universes. + +Axiom ALL : forall {T:Prop}, T. + +Inductive Expr : Set := E (a : Expr). + +Parameter Value : Set. + +Fixpoint eval (e: Expr): Value := + match e with + | E a => eval a + end. + +Class Quote (n: Value) : Set := + { quote: Expr + ; eval_quote: eval quote = n }. + +Program Definition quote_mult n + `{!Quote n} : Quote n := + {| quote := E (quote (n:=n)) |}. + +Set Printing Universes. +Next Obligation. +Proof. + Show Universes. + destruct Quote0 as [q eq]. + Show Universes. + rewrite <- eq. + clear n eq. + Show Universes. + apply ALL. + Show Universes. +Qed. +Print quote_mult_obligation_1. +(* quote_mult_obligation_1@{} = +let Top_internal_eq_rew_dep := + fun (A : Type@{Coq.Init.Logic.8}) (x : A) (P : forall a : A, x = a -> Type@{Top.5} (* <- XXX *)) + (f : P x eq_refl) (y : A) (e : x = y) => + match e as e0 in (_ = y0) return (P y0 e0) with + | eq_refl => f + end in +fun (n : Value) (Quote0 : Quote n) => +match Quote0 as q return (eval quote = n) with +| {| quote := q; eval_quote := eq0 |} => + Top_internal_eq_rew_dep Value (eval q) (fun (n0 : Value) (eq1 : eval q = n0) => eval quote = n0) + ALL n eq0 +end + : forall (n : Value) (Quote0 : Quote n), eval (E quote) = n + +quote_mult_obligation_1 is universe polymorphic +*) -- cgit v1.2.3