Canonical cfInd_linear := Linear cfInd_is_linear.
End Def.
Local Notation "''Ind[' B , A ]" := (@cfInd B A) : ring_scope.
Local Notation "''Ind[' B ]" := 'Ind[B, _] : ring_scope.

Lemma cfIndInd phi :
K \subset G -> H \subset K -> 'Ind[G] ('Ind[K] phi) = 'Ind[G] phi.