Theorems · Theorem · group theory
List.isCycle_formPerm
∀ {α : Type u_1} [inst : DecidableEq α] {l : List α}, l.Nodup → 2 ≤ l.length → l.formPerm.IsCycle- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Concrete
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
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.
- DFunLike.coeproof · cited by 62,936
- zero_addproof · cited by 2,366
- zpow_natCastproof · cited by 271
- Equiv.Perm.IsCyclestatement and proof · cited by 108
- List.formPermstatement and proof · cited by 54
- List.mem_of_formPerm_apply_neproof · cited by 4
- List.formPerm_apply_mem_ne_self_iffproof · cited by 3
- List.formPerm_pow_apply_headproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- Equiv.Perm.exists_with_cycleType_iffproof · cited by 2
- Equiv.Perm.toList_formPerm_nontrivialproof · cited by 1
- Cycle.isCycle_formPermproof · cited by 0
- List.pairwise_sameCycle_formPermproof · cited by 0
- List.cycleOf_formPermproof · cited by 0
- List.cycleType_formPermproof · cited by 0