Theorems · Theorem · group theory
Equiv.Perm.formPerm_toList
∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α] (f : Equiv.Perm α) (x : α),
(f.toList x).formPerm = f.cycleOf x- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Concrete
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fintypestatement and proof · cited by 7,736
- Finset.cardproof · cited by 2,327
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.Perm.supportproof · cited by 230
- pow_succ'proof · cited by 228
- Equiv.Perm.SameCycleproof · cited by 116
- Equiv.Perm.extproof · cited by 75
- Equiv.Perm.cycleOfstatement and proof · cited by 59
- List.formPermstatement and proof · cited by 54
- Equiv.Perm.mem_supportproof · cited by 51
- Equiv.Perm.mul_applyproof · cited by 38
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.Perm.IsCycle.existsUnique_cycleproof · cited by 1