File: bug_1568.v

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coq 9.1.0%2Bdfsg-3
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CoInductive A: Set :=
  mk_A: B -> A
with B: Set :=
  mk_B: A -> B.

CoFixpoint a:A := mk_A b
with b:B := mk_B a.

Goal b = match a with mk_A a1 => a1 end.
  simpl. reflexivity.
Qed.