Theorems · Theorem · group theory
Equiv.Perm.cycleType_conj
∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α] {σ τ : Equiv.Perm α}, (τ * σ * τ⁻¹).cycleType = σ.cycleType- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Type
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 100 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.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- mul_oneproof · cited by 3,885
- Multisetstatement and proof · cited by 2,627
- Finset.cardproof · cited by 2,327
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.Perm.supportproof · cited by 230
- mul_inv_cancelproof · cited by 128
- Equiv.Perm.IsCycleproof · cited by 108
- Equiv.Perm.cycleTypestatement and proof · cited by 87
- Equiv.Perm.Disjointproof · cited by 81
- Equiv.Perm.Disjoint.cycleType_mulproof · cited by 14
- Equiv.Perm.IsCycle.cycleTypeproof · cited by 12
Cited by2
Results whose statement or proof uses this declaration.
- Equiv.Perm.isConj_iff_cycleType_eqproof · cited by 4
- alternatingGroup.map_kleinFour_conjproof · cited by 0