Theorems · Theorem · group theory
fixingSubgroup_iUnion
∀ (M : Type u_1) (α : Type u_2) [inst : Group M] [inst_1 : MulAction M α] {ι : Sort u_3} {s : ι → Set α},
fixingSubgroup M (⋃ i, s i) = ⨅ i, fixingSubgroup M (s i)Fixing subgroup of iUnion is intersection
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- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- Set.iUnionstatement · cited by 2,483
- iInfstatement · cited by 1,690
- MulActionstatement and proof · cited by 1,294
- fixingSubgroupstatement · cited by 83
- GaloisConnection.l_iSupproof · cited by 78
- fixingSubgroup_fixedPoints_gcproof · cited by 7
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