Theorems · Theorem · group theory
Equiv.Perm.cycleOf_one
∀ {α : Type u_2} [inst : DecidableRel (Equiv.Perm.SameCycle 1)] (x : α), Equiv.Perm.cycleOf 1 x = 1- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Factors
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableRel
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equiv.Permstatement · cited by 1,375
- Equiv.Perm.SameCyclestatement and proof · cited by 116
- Equiv.Perm.cycleOfstatement · cited by 59
- Equiv.Perm.cycleOf_eq_one_iffproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.Perm.toList_oneproof · cited by 2