Theorems · Theorem · group theory
Equiv.Perm.support_conj_eq_smul_support
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α] (k : ConjAct (Equiv.Perm α)) (g : Equiv.Perm α),
(k • g).support = ConjAct.ofConjAct k • g.support- Defined in
- Mathlib.GroupTheory.Perm.ConjAct
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 79 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.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Finsetstatement · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Equiv.Permstatement and proof · cited by 1,375
- MulEquivstatement · cited by 1,142
- Finset.extproof · cited by 565
- Equiv.Perm.supportstatement and proof · cited by 230
- Finset.smulFinsetstatement · cited by 101
- ConjActstatement and proof · cited by 79
- ConjAct.ofConjActstatement and proof · cited by 17
- Finset.inv_smul_mem_iffproof · cited by 3
- Equiv.Perm.smul_defproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Equiv.Perm.support_toConjAct_eq_smul_supportproof · cited by 1
- alternatingGroup.conj_smul_range_ofSubtypeproof · cited by 0
- Equiv.Perm.conj_smul_range_ofSubtypeproof · cited by 0