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+Require Import Coq.Arith.Arith Coq.Init.Wf.
+Axiom proof_admitted : False.
+Goal exists x y z : nat, Fix
+ Wf_nat.lt_wf
+ (fun _ => nat -> nat)
+ (fun x' f => match x' as x'0
+ return match x'0 with
+ | 0 => True
+ | S x'' => x'' < x'
+ end
+ -> nat -> nat
+ with
+ | 0 => fun _ _ => 0
+ | S x'' => f x''
+ end
+ (match x' with
+ | 0 => I
+ | S x'' => (Nat.lt_succ_diag_r _)
+ end))
+ z
+ y
+ = 0.
+Proof.
+ do 3 (eexists; [ shelve.. | ]).
+ match goal with |- ?G => let G' := (eval lazy in G) in change G with G' end.
+ case proof_admitted.
+ Unshelve.
+ all:constructor.
+Defined. \ No newline at end of file