Theorems · Definition · combinatorics
Cycle
Type u_1 → Type u_1
Cycle α is the quotient of List α by cyclic permutation.
Duplicates are allowed.
- Defined in
- Mathlib.Data.List.Cycle
- Cited by
- 79 results in Mathlib
- Foundations
- Depth 60 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.
- List.IsRotated.setoidproof · cited by 2
Cited by99
Results whose statement or proof uses this declaration.
- Cycle.ofListstatement · cited by 38
- Cycle.Nodupstatement and proof · cited by 28
- Cycle.nilstatement · cited by 26
- Cycle.Chainstatement and proof · cited by 15
- Cycle.reversestatement and proof · cited by 14
- Cycle.formPermstatement and proof · cited by 13
- Function.periodicOrbitstatement · cited by 13
- Cycle.nextstatement and proof · cited by 10
- Cycle.Nontrivialstatement and proof · cited by 9
- Cycle.Subsingletonstatement and proof · cited by 9
- Cycle.lengthstatement and proof · cited by 9
- Cycle.prevstatement and proof · cited by 8