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+Set Implicit Arguments.
+
+Require Import Logic.
+
+Global Set Universe Polymorphism.
+Global Set Asymmetric Patterns.
+Local Set Record Elimination Schemes.
+Local Set Primitive Projections.
+
+Record prod (A B : Type) : Type :=
+ pair { fst : A; snd : B }.
+
+Check fun x : prod Set Set => eq_refl : x = pair (fst x) (snd x).