Theorems · Theorem · group theory
Equiv.Perm.SameCycle.refl
∀ {α : Type u_2} (f : Equiv.Perm α) (x : α), f.SameCycle x x- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.Perm.SameCyclestatement · cited by 116
Cited by7
Results whose statement or proof uses this declaration.
- Equiv.Perm.cycleOf_eq_one_iffproof · cited by 9
- Equiv.Perm.SameCycle.rflproof · cited by 5
- Eq.sameCycleproof · cited by 1
- Equiv.Perm.pow_apply_mem_toList_iff_mem_supportproof · cited by 0
- Equiv.Perm.SameCycle.equivalenceproof · cited by 0
- Equiv.Perm.sameCycle_iff_cycleOf_eq_of_mem_supportproof · cited by 0
- Equiv.Perm.mem_support_iff_mem_support_of_mem_cycleFactorsFinsetproof · cited by 0