Theorems · Definition · group theory
MulAction.orbitRel
(G : Type u_1) → (α : Type u_2) → [inst : Group G] → [MulAction G α] → Setoid α
The relation 'in the same orbit'.
- Defined in
- Mathlib.GroupTheory.GroupAction.Defs
- Cited by
- 114 results in Mathlib
- Foundations
- Depth 65 from the axioms, rests on 725 definitions · 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.
- Groupstatement and proof · cited by 6,238
- MulActionstatement and proof · cited by 1,294
- MulAction.orbitproof · cited by 114
Cited by142
Results whose statement or proof uses this declaration.
- QuotientGroup.leftRelproof · cited by 61
- QuotientGroup.rightRelproof · cited by 44
- MulAction.orbitRel.Quotientproof · cited by 28
- MeasureTheory.QuotientMeasureEqMeasurePreimagestatement · cited by 19
- WeierstrassCurve.Projective.smul_eqstatement · cited by 7
- WeierstrassCurve.Jacobian.smul_eqstatement · cited by 7
- Subgroup.quotientEquivSigmaZModstatement · cited by 7
- ValuationRing.ValueGroupproof · cited by 6
- MeasureTheory.IsFundamentalDomain.projection_respects_measurestatement and proof · cited by 4
- MeasureTheory.IsFundamentalDomain.projection_respects_measure_applystatement and proof · cited by 4
- WeierstrassCurve.Jacobian.addMap_eqstatement · cited by 4
- IsPGroup.card_modEq_card_fixedPointsproof · cited by 4