Theorems · Theorem · group theory
AddAction.vadd_mem_fixedBy_iff_mem_fixedBy
∀ {α : Type u_1} {G : Type u_2} [inst : AddGroup G] [inst_1 : AddAction G α] {a : α} {g : G},
g +ᵥ a ∈ AddAction.fixedBy α g ↔ a ∈ AddAction.fixedBy α g- Cited by
- 2 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, 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.
- Setstatement · cited by 53,352
- AddGroupstatement and proof · cited by 4,410
- HVAdd.hVAddstatement · cited by 1,820
- AddActionstatement and proof · cited by 820
- AddAction.fixedBystatement and proof · cited by 26
- AddAction.mem_fixedByproof · cited by 12
- vadd_left_cancel_iffproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- AddAction.set_mem_fixedBy_of_movedBy_subsetproof · cited by 1
- AddAction.vadd_neg_mem_fixedBy_iff_mem_fixedByproof · cited by 0