Theorems · Theorem · group theory
Equiv.Perm.two_le_of_mem_cycleType
∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α] {σ : Equiv.Perm α} {n : ℕ}, n ∈ σ.cycleType → 2 ≤ n- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Type
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fintypestatement and proof · cited by 7,736
- Multisetstatement · cited by 2,627
- Finset.cardproof · cited by 2,327
- Equiv.Permstatement and proof · cited by 1,375
- Finset.valproof · cited by 438
- Multiset.map_congrproof · cited by 232
- Equiv.Perm.supportproof · cited by 230
- Equiv.Perm.IsCycleproof · cited by 108
- Equiv.Perm.cycleFactorsFinsetproof · cited by 96
- Equiv.Perm.cycleTypestatement and proof · cited by 87
- Equiv.Perm.IsCycle.two_le_card_supportproof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- Equiv.Perm.one_lt_of_mem_cycleTypeproof · cited by 4
- card_support_eq_three_iffproof · cited by 3
- Equiv.Perm.exists_with_cycleType_iffproof · cited by 2
- Equiv.Perm.filter_parts_partition_eq_cycleTypeproof · cited by 1
- Equiv.Perm.two_dvd_card_supportproof · cited by 1
- Equiv.Perm.isThreeCycle_sq_of_three_mem_cycleType_fiveproof · cited by 0