Theorems · Theorem · group theory
Equiv.Perm.lcm_cycleType
∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α] (σ : Equiv.Perm α), σ.cycleType.lcm = orderOf σ- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Type
- Cited by
- 7 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.
Cites21
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
- Finset.cardproof · cited by 2,327
- Equiv.Permstatement and proof · cited by 1,375
- orderOfstatement and proof · cited by 324
- Equiv.Perm.supportproof · cited by 230
- Equiv.Perm.IsCycleproof · cited by 108
- Equiv.Perm.cycleTypestatement and proof · cited by 87
- Equiv.Perm.Disjointproof · cited by 81
- GCDMonoid.lcmproof · cited by 78
- normalize_eqproof · cited by 26
- Multiset.lcmstatement and proof · cited by 20
- orderOf_oneproof · cited by 15
Cited by7
Results whose statement or proof uses this declaration.
- Equiv.Perm.dvd_of_mem_cycleTypeproof · cited by 4
- Equiv.Perm.IsThreeCycle.orderOfproof · cited by 4
- Equiv.Perm.pow_prime_eq_one_iffproof · cited by 2
- alternatingGroup.mem_kleinFour_of_order_two_powproof · cited by 1
- alternatingGroup.exponent_kleinFour_of_card_eq_fourproof · cited by 1
- Equiv.Perm.IsSwap.orderOfproof · cited by 1
- Equiv.Perm.isThreeCycle_sq_of_three_mem_cycleType_fiveproof · cited by 0