Theorems · Definition · group theory
AddAction.fixedPoints
(M : Type u_1) → (α : Type u_3) → [inst : AddMonoid M] → [AddAction M α] → Set α
The set of elements fixed under the whole action.
- Defined in
- Mathlib.GroupTheory.GroupAction.Defs
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 4 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.
- Setstatement · cited by 53,352
- Set.ofPredproof · cited by 6,101
- AddMonoidstatement and proof · cited by 2,864
- HVAdd.hVAddproof · cited by 1,820
- AddActionstatement and proof · cited by 820
Cited by23
Results whose statement or proof uses this declaration.
- fixingAddSubgroup_fixedPoints_gcstatement and proof · cited by 7
- fixingAddSubmonoid_fixedPoints_gcstatement and proof · cited by 6
- AddAction.mem_fixedPointsstatement · cited by 4
- AddAction.IsPreprimitive.of_isTrivialBlock_of_notMem_fixedPointsstatement and proof · cited by 1
- AddAction.subsingleton_orbit_iff_mem_fixedPointsstatement · cited by 1
- AddAction.fixedPoints_of_subsingletonstatement · cited by 1
- AddAction.IsPreprimitive.mk'statement and proof · cited by 0
- AddAction.mem_fixedPoints'statement and proof · cited by 0
- AddAction.mem_fixedPoints_iff_card_orbit_eq_onestatement · cited by 0
- fixedPointsSubAddOfNormalproof · cited by 0
- fixedPoints_addSubgroup_antitonestatement · cited by 0
- AddActionHom.map_mem_fixedPointsstatement and proof · cited by 0