Theorems · Theorem · group theory
Equiv.Perm.nodup_of_pairwise_disjoint_cycles
∀ {β : Type u_3} {l : List (Equiv.Perm β)}, (∀ f ∈ l, f.IsCycle) → List.Pairwise Equiv.Perm.Disjoint l → l.Nodup- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.Perm.IsCyclestatement and proof · cited by 108
- Equiv.Perm.Disjointstatement and proof · cited by 81
- Equiv.Perm.IsCycle.ne_oneproof · cited by 11
- Equiv.Perm.nodup_of_pairwise_disjointproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Equiv.Perm.cycleType_eqproof · cited by 4
- Equiv.Perm.list_cycles_perm_list_cyclesproof · cited by 1
- Equiv.Perm.cycleFactorsFinset_eq_list_toFinsetproof · cited by 1