Finite-join-closedness is left residual-preserved
This article gives the statement, and possibly proof, of a subgroup metaproperty (i.e., Finite-join-closed subgroup property (?)) satisfying a subgroup metametaproperty (i.e., Left residual-preserved subgroup metaproperty (?))
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Statement
Property-theoretic statement
The Left residual operator for composition (?) of a finite-join-closed subgroup property by any subgroup property is again finite-join-closed.
Related facts
Similar facts about being left residual-preserved
- Join-closedness is left residual-preserved
- Finite-intersection-closedness is left residual-preserved
- Intersection-closedness is left residual-preserved
- Conjugate-join-closedness is left residual-preserved
- Normalizing join-closedness is left residual-preserved
Similar facts about being right residual-preserved
Some similar facts about right residual-preserved are: