Theorems · Theorem · group theory
Equiv.Perm.isCycleOn_support_cycleOf
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : Fintype α] (f : Equiv.Perm α) (x : α),
f.IsCycleOn ↑(f.cycleOf x).support- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Factors
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- SetLike.coestatement · cited by 8,199
- Fintypestatement and proof · cited by 7,736
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.Perm.supportstatement · cited by 230
- Equiv.Perm.cycleOfstatement · cited by 59
- Equiv.Perm.IsCycleOnstatement · cited by 41
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.Perm.isCycleOn_support_of_mem_cycleFactorsFinsetproof · cited by 1