(* Anomaly see Issue #15413 Combined Scheme Even_Odd_mutind from Even_Odd_ind, Odd_Even_ind. *)
Scheme Odd_alt_Even_alt_sind := Minimality for Odd_alt Sort SProp
with Even_alt_Odd_alt_sind := Minimality for Even_alt Sort SProp.

Lemma Odd_Even_sind (P Q : nat -> SProp) :
(forall n, Even n -> Q n -> P (S n)) ->
Q 0 -> (forall n, Odd n -> P n -> Q (S n)) -> forall n, Odd n -> P n.