Theorems · Definition · group theory
MulAction.orbitRel.Quotient
(G : Type u_1) → (α : Type u_2) → [inst : Group G] → [MulAction G α] → Type u_2
The quotient by MulAction.orbitRel, given a name to enable dot notation.
- Defined in
- Mathlib.GroupTheory.GroupAction.Defs
- Cited by
- 28 results in Mathlib
- Foundations
- Depth 66 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.
- Groupstatement and proof · cited by 6,238
- MulActionstatement and proof · cited by 1,294
- MulAction.orbitRelproof · cited by 114
Cited by41
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Jacobian.PointClassproof · cited by 21
- WeierstrassCurve.Projective.PointClassproof · cited by 21
- MulAction.orbitRel.Quotient.orbitstatement and proof · cited by 15
- Subgroup.quotientEquivSigmaZModstatement and proof · cited by 7
- MulAction.orbitRel.Quotient.orbit_eq_orbit_outstatement and proof · cited by 4
- Subgroup.transferFunction_applystatement · cited by 3
- Subgroup.quotientEquivSigmaZMod_symm_applystatement and proof · cited by 3
- CuspOrbitsproof · cited by 3
- MulAction.orbitRel.Quotient.mem_orbitstatement and proof · cited by 2
- MulAction.orbitRel.Quotient.mem_subgroup_orbit_iffstatement and proof · cited by 2
- MonoidHom.transfer_eq_prod_quotient_orbitRel_zpowers_quotproof · cited by 2
- CategoryTheory.Limits.SingleObj.colimitTypeRelEquivOrbitRelQuotientstatement · cited by 2