Theorems · Definition · group theory
AddAction.orbitRel
(G : Type u_1) → (α : Type u_2) → [inst : AddGroup G] → [AddAction G α] → Setoid α
The relation 'in the same orbit'.
- Defined in
- Mathlib.GroupTheory.GroupAction.Defs
- Cited by
- 47 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddActionstatement and proof · cited by 820
- AddAction.orbitproof · cited by 86
Cited by64
Results whose statement or proof uses this declaration.
- QuotientAddGroup.leftRelproof · cited by 34
- MeasureTheory.AddQuotientMeasureEqMeasurePreimagestatement · cited by 19
- AddAction.orbitRel.Quotientproof · cited by 17
- QuotientAddGroup.rightRelproof · cited by 14
- MeasureTheory.IsAddFundamentalDomain.addProjection_respects_measure_applystatement and proof · cited by 5
- AddAction.orbitRel.Quotient.orbit_eq_orbit_outstatement · cited by 4
- MeasureTheory.IsAddFundamentalDomain.addProjection_respects_measurestatement and proof · cited by 4
- MeasureTheory.addMeasure_map_restrict_applystatement and proof · cited by 3
- isOpenMap_quotient_mk'_addstatement · cited by 3
- AddAction.orbitRel_applystatement · cited by 3
- AddAction.quotient_preimage_image_eq_union_addstatement and proof · cited by 3
- AddAction.orbitRel.Quotient.mem_orbitstatement · cited by 2