Theorems · Theorem · group theory
Equiv.Perm.mem_cycleFactorsFinset_support_le
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : Fintype α] {p f : Equiv.Perm α},
p ∈ f.cycleFactorsFinset → p.support ⊆ f.support- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Factors
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 94 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.
Cites7
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
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.Perm.supportstatement and proof · cited by 230
- Equiv.Perm.cycleFactorsFinsetstatement and proof · cited by 96
- Equiv.Perm.mem_supportproof · cited by 51
- Equiv.Perm.mem_cycleFactorsFinset_iffproof · cited by 17
Cited by7
Results whose statement or proof uses this declaration.
- Equiv.Perm.OnCycleFactors.kerParam_range_eqproof · cited by 3
- Equiv.Perm.Disjoint.cycleFactorsFinset_mul_eq_unionproof · cited by 2
- Equiv.Perm.support_zpowers_of_mem_cycleFactorsFinset_leproof · cited by 2
- Equiv.Perm.Basis.ofPermHom_supportproof · cited by 1
- Equiv.Perm.OnCycleFactors.kerParam_injectiveproof · cited by 1
- Equiv.Perm.Basis.ofPermHomFun_apply_mem_support_cycle_iffproof · cited by 1
- Equiv.Perm.mem_support_iff_mem_support_of_mem_cycleFactorsFinsetproof · cited by 0