Theorems · Theorem · group theory
Equiv.Perm.sum_cycleType_le
∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α] (σ : Equiv.Perm α), σ.cycleType.sum ≤ Fintype.card α- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Type
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 101 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.
Cites8
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
- Fintype.cardstatement · cited by 1,386
- Equiv.Permstatement and proof · cited by 1,375
- Multiset.sumstatement · cited by 388
- Equiv.Perm.supportproof · cited by 230
- Equiv.Perm.cycleTypestatement · cited by 87
- Finset.card_le_univproof · cited by 32
- Equiv.Perm.sum_cycleTypeproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.Perm.sign_of_cycleType_eq_replicateproof · cited by 1