Theorems · Theorem · group theory
alternatingGroup.isConj_of
∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α] {σ τ : ↥(alternatingGroup α)},
IsConj ↑σ ↑τ → (↑σ).support.card + 2 ≤ Fintype.card α → IsConj σ τ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 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.
Cites38
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetproof · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Subgroupstatement · cited by 3,593
- Compl.complproof · cited by 2,925
- Unitsproof · cited by 2,804
- Finset.cardstatement and proof · cited by 2,327
- Disjointproof · cited by 2,201
- mul_assocproof · cited by 1,667
- Fintype.cardstatement and proof · cited by 1,386
- Equiv.Permstatement and proof · cited by 1,375
- map_mulproof · cited by 1,137
Cited by1
Results whose statement or proof uses this declaration.
- alternatingGroup.isThreeCycle_isConjproof · cited by 1