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Theorems · Theorem · group theory

fixingSubgroup_union

∀ (M : Type u_1) (α : Type u_2) [inst : Group M] [inst_1 : MulAction M α] {s t : Set α},
  fixingSubgroup M (s ∪ t) = fixingSubgroup M s ⊓ fixingSubgroup M t

Fixing subgroup of union is intersection

Defined in
Mathlib.GroupTheory.GroupAction.FixingSubgroup
Cited by
1 results in Mathlib
Foundations
Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupMulAction
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SubMulAction.mem_fixingSubgroup_union_iff · cited by 0SubMulAction.mem_fixingSu…Set · cited by 53352SetGroup · cited by 6238GroupSubgroup · cited by 3593SubgroupMulAction · cited by 1294MulActionfixingSubgroup · cited by 83fixingSubgroupGaloisConnection.l_sup · cited by 81GaloisConnection.l_supfixingSubgroup_fixedPoints_gc · cited by 7fixingSubgroup_fixedPoint…fixingSubgroup_unionCITED BYCITES

Cites7

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Cited by1

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