Theorems · Theorem · group theory
Equiv.Perm.support_zpowers_of_mem_cycleFactorsFinset_le
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : Fintype α] {g : Equiv.Perm α} {c : ↥g.cycleFactorsFinset}
(v : ↥(Subgroup.zpowers ↑c)), (↑v).support ⊆ g.support- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Factors
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Subgroupstatement · cited by 3,593
- Equiv.Permstatement and proof · cited by 1,375
- le_transproof · cited by 985
- Subtype.propproof · cited by 505
- Equiv.Perm.supportstatement and proof · cited by 230
- Subgroup.zpowersstatement and proof · cited by 204
- Equiv.Perm.cycleFactorsFinsetstatement and proof · cited by 96
- Equiv.Perm.mem_cycleFactorsFinset_support_leproof · cited by 7
- Equiv.Perm.support_zpow_leproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Equiv.Perm.disjoint_ofSubtype_noncommPiCoprodproof · cited by 2
- Equiv.Perm.OnCycleFactors.kerParam_applyproof · cited by 1