Theorems · Theorem · group theory
Equiv.Perm.toList_pow_apply_eq_rotate
∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α] (p : Equiv.Perm α) (x : α) (k : ℕ),
p.toList ((p ^ k) x) = (p.toList x).rotate k- 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.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Fintypestatement and proof · cited by 7,736
- Finset.cardproof · cited by 2,327
- Equiv.Permstatement and proof · cited by 1,375
- LE.le.trans_ltproof · cited by 795
- pow_addproof · cited by 315
- Equiv.Perm.supportproof · cited by 230
- Equiv.Perm.cycleOfproof · cited by 59
- Equiv.Perm.mul_applyproof · cited by 38
- Equiv.Perm.toListstatement and proof · cited by 24
- List.length_rotateproof · cited by 19
- List.getElem_rotateproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.Perm.SameCycle.toList_isRotatedproof · cited by 0