Theorems · Theorem · group theory
Equiv.Perm.Basis.mem_support_self
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α] {g : Equiv.Perm α} (a : g.Basis)
(c : ↥g.cycleFactorsFinset), a c ∈ (↑c).support- Defined in
- Mathlib.GroupTheory.Perm.Centralizer
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Finsetstatement · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.Perm.supportstatement · cited by 230
- Equiv.Perm.cycleFactorsFinsetstatement and proof · cited by 96
- Equiv.Perm.Basisstatement and proof · cited by 25
- Equiv.Perm.Basis.mem_support_self'proof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- Equiv.Perm.Basis.ofPermHomFun_apply_of_cycleOf_memproof · cited by 5
- Equiv.Perm.Basis.sameCycleproof · cited by 2
- Equiv.Perm.Basis.injectiveproof · cited by 1
- Equiv.Perm.Basis.ofPermHomFun_apply_mem_support_cycle_iffproof · cited by 1
- Equiv.Perm.Basis.ofPermHomFun_mulproof · cited by 0
- Equiv.Perm.Basis.cycleOf_eqproof · cited by 0