Theorems · Theorem · group theory
Equiv.Perm.two_le_length_toList_iff_mem_support
∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α] {p : Equiv.Perm α} {x : α},
2 ≤ (p.toList x).length ↔ x ∈ p.support- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Concrete
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 87 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetstatement · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.Perm.supportstatement · cited by 230
- Equiv.Perm.toListstatement · cited by 24
- Equiv.Perm.length_toListproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.Perm.length_toList_pos_of_mem_supportproof · cited by 1