Template:Sdf subgroup property satisfaction

{{quotation|This article gives the statement, and possibly proof, of the fact that for any group, the subgroup obtained by applying a given subgroup-defining function {{#if:{{{sdf|}}}|(i.e., )}} always satisfies a particular subgroup property (i.e., proves property satisfaction of::)} View subgroup property satisfactions for subgroup-defining functions $$|$$ View subgroup property dissatisfactions for subgroup-defining functions}}{{#if:| | }}{{#if:| | }}