Theorems · Theorem · group theory
fixingSubmonoid_iUnion
∀ (M : Type u_1) (α : Type u_2) [inst : Monoid M] [inst_1 : MulAction M α] {ι : Sort u_3} {s : ι → Set α},
fixingSubmonoid M (⋃ i, s i) = ⨅ i, fixingSubmonoid M (s i)Fixing submonoid of iUnion is intersection
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- 0 results in Mathlib
- Foundations
- Depth 63 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
- Monoidstatement and proof · cited by 3,887
- Submonoidstatement · cited by 3,086
- Set.iUnionstatement · cited by 2,483
- iInfstatement · cited by 1,690
- MulActionstatement and proof · cited by 1,294
- GaloisConnection.l_iSupproof · cited by 78
- fixingSubmonoid_fixedPoints_gcproof · cited by 6
- fixingSubmonoidstatement · cited by 5
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