Theorems · Theorem · group theory
Equiv.Perm.toList_formPerm_isRotated_self
∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α] (l : List α),
2 ≤ l.length → l.Nodup → ∀ x ∈ l, l.formPerm.toList x ~r l- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Concrete
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 88 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.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Equiv.Permproof · cited by 1,375
- le_of_ltproof · cited by 1,175
- LE.le.trans_ltproof · cited by 795
- tsub_add_cancel_of_leproof · cited by 112
- LT.lt.trans_eqproof · cited by 65
- List.formPermstatement and proof · cited by 54
- List.IsRotatedstatement and proof · cited by 39
- Equiv.Perm.toListstatement and proof · cited by 24
- List.length_rotateproof · cited by 19
- List.formPerm_eq_of_isRotatedproof · cited by 2
- Equiv.Perm.toList_formPerm_nontrivialproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.Perm.IsCycle.existsUnique_cycleproof · cited by 1