Theorems · Definition · group theory
fixedPointsSubAddOfNormal
{G : Type u_1} →
[inst : AddGroup G] →
{α : Type u_2} → [inst_1 : AddAction G α] → {H : AddSubgroup G} → [hH : H.Normal] → SubAddAction G αThe set of fixed points of a normal subgroup is stable under the group action.
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- Depth 24 from the axioms · uses propext
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddActionstatement and proof · cited by 820
- AddSubgroup.Normalstatement and proof · cited by 183
- SubAddActionstatement · cited by 86
- AddAction.fixedPointsproof · cited by 20
- vadd_mem_fixedPoints_of_normalproof · cited by 0
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