Trim subgroup property

This article defines a subgroup metaproperty: a property that can be evaluated to true/false for any subgroup property
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Definition

Symbol-free definition

A trim subgroup property is a subgroup property that satisfies the following:

• It is trivially true: That is, the trivial subgroup always satisfies this property.
• It is identity-true: That is, every group satisfies the property as a subgroup of itself.