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(* On the strength of "apply with" (see also #4782) *)
Record ProverT := { Facts : Type }.
Record ProverT_correct (P : ProverT) := { Valid : Facts P -> Prop ;
Valid_weaken : Valid = Valid }.
Definition reflexivityValid (_ : unit) := True.
Definition reflexivityProver_correct : ProverT_correct {| Facts := unit |}.
Proof.
eapply Build_ProverT_correct with (Valid := reflexivityValid).
Abort.
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