Theorems · Theorem · group theory
Equiv.Perm.SameCycle.toList_isRotated
∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α] {f : Equiv.Perm α} {x y : α},
f.SameCycle x y → f.toList x ~r f.toList y- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Concrete
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableEq
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · 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
- pow_zeroproof · cited by 1,094
- Equiv.Perm.supportproof · cited by 230
- Equiv.Perm.SameCyclestatement and proof · cited by 116
- Equiv.Perm.cycleOfproof · cited by 59
- List.IsRotatedstatement and proof · cited by 39
- Equiv.Perm.toListstatement and proof · cited by 24
- Equiv.Perm.SameCycle.exists_pow_eq_of_mem_supportproof · cited by 5
- Equiv.Perm.toList_eq_nil_iffproof · cited by 3
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