Theorems · Theorem · group theory
vadd_mem_fixedPoints_of_normal
∀ {G : Type u_1} [inst : AddGroup G] {α : Type u_2} [inst_1 : AddAction G α] {H : AddSubgroup G} [hH : H.Normal] (g : G)
{a : α}, a ∈ AddAction.fixedPoints (↥H) α → g +ᵥ a ∈ AddAction.fixedPoints (↥H) α- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddActionstatement and proof · cited by 820
- AddSubgroup.Normalstatement and proof · cited by 183
- vadd_vaddproof · cited by 40
- AddAction.fixedPointsstatement and proof · cited by 20
- neg_vadd_eq_iffproof · cited by 13
- AddSubgroup.Normal.addConj_mem'proof · cited by 4
- AddSubgroup.vadd_defproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- fixedPointsSubAddOfNormalproof · cited by 0