Theorems · Theorem · group theory
Equiv.Perm.Basis.cycleOf_eq
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α] {g : Equiv.Perm α} (a : g.Basis)
(c : ↥g.cycleFactorsFinset), g.cycleOf (a c) = ↑c- Defined in
- Mathlib.GroupTheory.Perm.Centralizer
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintype
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Finsetstatement · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Equiv.Permstatement and proof · cited by 1,375
- Subtype.propproof · cited by 505
- Equiv.Perm.cycleFactorsFinsetstatement and proof · cited by 96
- Equiv.Perm.cycleOfstatement · cited by 59
- Equiv.Perm.Basisstatement and proof · cited by 25
- Equiv.Perm.Basis.mem_support_selfproof · cited by 6
- Equiv.Perm.cycle_is_cycleOfproof · cited by 4
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