Theorems · Theorem · group theory
List.formPerm_apply_mem_ne_self_iff
∀ {α : Type u_1} [inst : DecidableEq α] (l : List α), l.Nodup → ∀ x ∈ l, l.formPerm x ≠ x ↔ 2 ≤ l.length- Defined in
- Mathlib.GroupTheory.Perm.List
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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 · cited by 1,375
- not_leproof · cited by 328
- List.formPermstatement and proof · cited by 54
- List.formPerm_apply_mem_eq_self_iffproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- List.isCycle_formPermproof · cited by 6
- List.pairwise_sameCycle_formPermproof · cited by 0
- List.cycleOf_formPermproof · cited by 0