Theorems · Definition · group theory
AddAction.ofQuotientStabilizer
(G : Type u) →
{X : Type v} → [inst : AddGroup G] → [inst_1 : AddAction G X] → (x : X) → G ⧸ AddAction.stabilizer G x → XThe canonical map from the quotient of the stabilizer to the set.
- Defined in
- Mathlib.GroupTheory.GroupAction.Quotient
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- AddSubgroupstatement · cited by 3,232
- HasQuotient.Quotientstatement and proof · cited by 2,301
- HVAdd.hVAddproof · cited by 1,820
- AddActionstatement and proof · cited by 820
- AddAction.stabilizerstatement and proof · cited by 112
- Quotient.liftOn'proof · cited by 19
Cited by5
Results whose statement or proof uses this declaration.
- AddAction.orbitEquivQuotientStabilizerproof · cited by 2
- AddAction.injective_ofQuotientStabilizerstatement · cited by 0
- AddAction.ofQuotientStabilizer_mem_orbitstatement · cited by 0
- AddAction.ofQuotientStabilizer_mkstatement · cited by 0
- AddAction.ofQuotientStabilizer_vaddstatement · cited by 0