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Set Primitive Projections.
Set Implicit Arguments.
Record prod A B := pair { fst : A; snd : B}.
Goal fst (@pair Type Type Type Type).
Set Printing All.
match goal with |- ?f ?x => set (foo := f x) end.
Goal forall x : prod Set Set, x = @pair _ _ (fst x) (snd x).
Proof.
intro x.
lazymatch goal with
| [ |- ?x = @pair _ _ (?f ?x) (?g ?x) ] => pose f
end.
(* Toplevel input, characters 7-44:
Error: No matching clauses for match. *)
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