Theorems · Definition · group theory
MulAction.ofQuotientStabilizer
(G : Type u) → {X : Type v} → [inst : Group G] → [inst_1 : MulAction G X] → (x : X) → G ⧸ MulAction.stabilizer G x → XThe canonical map from the quotient of the stabilizer to the set.
- Defined in
- Mathlib.GroupTheory.GroupAction.Quotient
- Cited by
- 7 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.
Cites6
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
- Subgroupstatement · cited by 3,593
- HasQuotient.Quotientstatement and proof · cited by 2,301
- MulActionstatement and proof · cited by 1,294
- MulAction.stabilizerstatement and proof · cited by 254
- Quotient.liftOn'proof · cited by 19
Cited by9
Results whose statement or proof uses this declaration.
- prodXSubSMulproof · cited by 7
- MulAction.orbitEquivQuotientStabilizerproof · cited by 3
- prodXSubSMul.evalproof · cited by 1
- prodXSubSMul.monicproof · cited by 1
- prodXSubSMul.smulproof · cited by 1
- MulAction.ofQuotientStabilizer_mkstatement · cited by 1
- MulAction.ofQuotientStabilizer_smulstatement · cited by 1
- MulAction.injective_ofQuotientStabilizerstatement · cited by 1
- MulAction.ofQuotientStabilizer_mem_orbitstatement · cited by 0