Theorems · Definition · group theory
MulAction.stabilizerSubmonoid
(M : Type u_1) → {α : Type u_3} → [inst : Monoid M] → [MulAction M α] → α → Submonoid MThe stabilizer of a point a as a submonoid of M.
- Defined in
- Mathlib.GroupTheory.GroupAction.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.ofPredproof · cited by 6,101
- Monoidstatement and proof · cited by 3,887
- Submonoidstatement · cited by 3,086
- one_smulproof · cited by 1,374
- MulActionstatement and proof · cited by 1,294
Cited by6
Results whose statement or proof uses this declaration.
- MulAction.stabilizerproof · cited by 254
- CategoryTheory.ActionCategory.stabilizerIsoEndstatement and proof · cited by 2
- SubMulAction.stabilizer_of_subMul.submonoidstatement · cited by 1
- CategoryTheory.ActionCategory.stabilizerIsoEnd_applystatement and proof · cited by 0
- CategoryTheory.ActionCategory.stabilizerIsoEnd_symm_applystatement · cited by 0
- MulAction.mem_stabilizerSubmonoid_iffstatement · cited by 0