Theorems · Theorem · group theory
Equiv.Perm.SameCycle.eq_of_left
∀ {α : Type u_2} {f : Equiv.Perm α} {x y : α}, f.SameCycle x y → Function.IsFixedPt (⇑f) x → x = y- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.Perm.SameCyclestatement and proof · cited by 116
- Function.IsFixedPtstatement and proof · cited by 84
- Function.IsFixedPt.eqproof · cited by 14
- Function.IsFixedPt.perm_zpowproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.Perm.SameCycle.eq_of_rightproof · cited by 0