Section MorphPcore.
Implicit Types (pi : nat_pred) (gT rT : finGroupType).
Canonical pcore_igFun pi := [igFun by pcore_sub pi & morphim_pcore pi].
Canonical pcore_gFun pi := [gFun by morphim_pcore pi].
Canonical pcore_pgFun pi := [pgFun by morphim_pcore pi].
End PcoreMod.

Lemma pseries_rcons pi pis gT (A : {set gT}) :
pseries (rcons pis pi) A = pcore_mod A pi (pseries pis A).