Theorems · Theorem · group theory
Equiv.Perm.toList_formPerm_nontrivial
∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α] (l : List α) (hl : 2 ≤ l.length),
l.Nodup → l.formPerm.toList (l.get ⟨0, ⋯⟩) = l- 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.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetproof · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- zero_addproof · cited by 2,366
- Finset.cardproof · cited by 2,327
- Equiv.Permproof · cited by 1,375
- LE.le.trans_ltproof · cited by 795
- LT.lt.trans_lestatement and proof · cited by 678
- Equiv.Perm.supportproof · cited by 230
- zero_lt_twostatement and proof · cited by 124
- Equiv.Perm.IsCycleproof · cited by 108
- List.toFinsetproof · cited by 108
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.Perm.toList_formPerm_isRotated_selfproof · cited by 1