Theorems · Theorem · group theory
ConjAct.orbit_eq_carrier_conjClasses
∀ {G : Type u_3} [inst : Group G] (g : G), MulAction.orbit (ConjAct G) g = (ConjClasses.mk g).carrier- Defined in
- Mathlib.GroupTheory.GroupAction.ConjAct
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Groupstatement and proof · cited by 6,238
- Set.extproof · cited by 2,266
- MulAction.orbitstatement and proof · cited by 114
- ConjActstatement and proof · cited by 79
- IsConjproof · cited by 43
- ConjClasses.mkstatement · cited by 18
- ConjClasses.carrierstatement · cited by 11
- ConjClasses.mk_eq_mk_iff_isConjproof · cited by 4
- ConjClasses.mem_carrier_iff_mk_eqproof · cited by 3
- ConjAct.mem_orbit_conjActproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ConjClasses.card_carrierproof · cited by 0