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 cfInd1 phi : H \subset G -> 'Ind[G] phi 1%g = #|G : H|%:R * phi 1%g.