Theorems · Definition · group theory
Equiv.Perm.support
{α : Type u_1} → [DecidableEq α] → [Fintype α] → Equiv.Perm α → Finset αThe Finset of nonfixed points of a permutation.
- Defined in
- Mathlib.GroupTheory.Perm.Support
- Cited by
- 230 results in Mathlib
- Foundations
- Depth 26 from the axioms, rests on 211 definitions · uses propext, Quot.sound
- Assumes
- DecidableEqFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetstatement · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Finset.univproof · cited by 3,473
- Equiv.Permstatement and proof · cited by 1,375
- Finset.filterproof · cited by 949
Cited by242
Results whose statement or proof uses this declaration.
- Equiv.Perm.cycleTypeproof · cited by 87
- Equiv.Perm.mem_supportstatement · cited by 51
- Equiv.Perm.toListproof · cited by 24
- Equiv.Perm.notMem_supportstatement · cited by 20
- Equiv.Perm.mem_cycleFactorsFinset_iffstatement and proof · cited by 17
- Equiv.Perm.OnCycleFactors.range_toPermHom'proof · cited by 16
- Equiv.Perm.sum_cycleTypestatement and proof · cited by 14
- Equiv.Perm.Disjoint.cycleType_mulproof · cited by 14
- Equiv.Perm.IsCycle.orderOfstatement and proof · cited by 14
- Equiv.Perm.IsCycle.cycleTypestatement · cited by 12
- Equiv.Perm.disjoint_iff_disjoint_supportstatement · cited by 11
- Equiv.Perm.support_onestatement · cited by 10
Showing the 200 most cited of 242.