Theorems · Theorem · group theory
alternatingGroup.commutator_perm_le
∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α], commutator (Equiv.Perm α) ≤ alternatingGroup α- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 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.
Cites10
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
- Subgroupstatement · cited by 3,593
- Equiv.Permstatement and proof · cited by 1,375
- Bracket.bracketproof · cited by 642
- Equiv.Perm.signproof · cited by 138
- alternatingGroupstatement and proof · cited by 96
- commutatorstatement · cited by 56
- commutator_eq_closureproof · cited by 7
- map_commutatorElementproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- alternatingGroup.commutator_perm_eqproof · cited by 1