Theorems · Theorem · group theory
Equiv.Perm.support_noncommProd
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α] {ι : Type u_2} {k : ι → Equiv.Perm α} {s : Finset ι}
(hs : (↑s).Pairwise fun i j => (k i).Disjoint (k j)), (s.noncommProd k ⋯).support = s.biUnion fun i => (k i).support- Defined in
- Mathlib.GroupTheory.Perm.Support
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintype
Around this declaration
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Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- Fintypestatement and proof · cited by 7,736
- Equiv.Permstatement and proof · cited by 1,375
- Commutestatement · cited by 639
- Set.Pairwisestatement and proof · cited by 321
- Equiv.Perm.supportstatement and proof · cited by 230
- Finset.biUnionstatement and proof · cited by 217
- Finset.induction_onproof · cited by 167
- Finset.coe_insertproof · cited by 124
- Finset.mem_insert_of_memproof · cited by 109
- Equiv.Perm.Disjointstatement and proof · cited by 81
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