Theorems · Theorem · group theory
AddAction.le_stabilizer_vadd_left
∀ {G : Type u_1} {α : Type u_2} {β : Type u_3} [inst : AddGroup G] [inst_1 : AddAction G α] [inst_2 : AddAction G β]
[inst_3 : VAdd α β] [VAddAssocClass G α β] (a : α) (b : β), AddAction.stabilizer G a ≤ AddAction.stabilizer G (a +ᵥ b)- Defined in
- Mathlib.GroupTheory.GroupAction.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddActionstatement and proof · cited by 820
- VAddstatement and proof · cited by 616
- AddAction.stabilizerstatement · cited by 112
- SetLike.le_defproof · cited by 76
- VAddAssocClassstatement and proof · cited by 60
- AddAction.mem_stabilizer_iffproof · cited by 27
- vadd_assocproof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- AddAction.stabilizer_vadd_eq_leftproof · cited by 1