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Set Universe Polymorphism.
Require Import Coq.ZArith.BinInt.
Class word_interface (width : Z) : Type := Build_word
{ rep : Type;
unsigned : rep -> Z;
of_Z : Z -> rep;
sub : rep -> rep -> rep }.
Coercion rep : word_interface >-> Sortclass.
Axiom word : word_interface 64. Local Existing Instance word.
Goal
forall (x : list word) (x1 x2 : word),
(unsigned (sub x2 x1) / 2 ^ 4 * 2 ^ 3 <
unsigned (of_Z 8) * Z.of_nat (Datatypes.length x))%Z.
Proof.
intros.
assert (unsigned (sub x2 x1) = unsigned (sub x2 x1)) by exact eq_refl.
Fail progress rewrite H.
Fail rewrite H.
Abort.
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