Theorems · Definition · combinatorics
Cycle.length
{α : Type u_1} → Cycle α → ℕThe length of the s : Cycle α, which is the number of elements, counting duplicates.
- Defined in
- Mathlib.Data.List.Cycle
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cyclestatement and proof · cited by 79
Cited by10
Results whose statement or proof uses this declaration.
- Cycle.Subsingletonproof · cited by 9
- Cycle.length_nontrivialstatement · cited by 2
- Cycle.length_subsingleton_iffstatement · cited by 2
- Function.periodicOrbit_lengthstatement and proof · cited by 1
- Cycle.length_coestatement · cited by 1
- Cycle.length_reversestatement · cited by 1
- Cycle.subsingleton_reverse_iffproof · cited by 0
- Cycle.formPerm_eq_formPerm_iffproof · cited by 0
- Cycle.card_toMultisetstatement · cited by 0
- Cycle.length_nilstatement · cited by 0