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 cfdot_Res_l psi phi : '['Res[H] psi, phi] = '[psi, 'Ind[G] phi].
End Induced.