Theorems · Theorem · group theory
AddAction.snd_mem_orbit_of_mem_orbit
∀ {M : Type u} [inst : AddMonoid M] {α : Type v} [inst_1 : AddAction M α] {β : Type u_1} [inst_2 : AddAction M β]
{x y : α × β}, x ∈ AddAction.orbit M y → x.2 ∈ AddAction.orbit M y.2- Defined in
- Mathlib.GroupTheory.GroupAction.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- AddMonoidstatement and proof · cited by 2,864
- HVAdd.hVAddproof · cited by 1,820
- AddActionstatement and proof · cited by 820
- AddAction.orbitstatement and proof · cited by 86
- AddAction.mem_orbitproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- AddAction.orbitRel_le_sndproof · cited by 0