Theorems · Theorem · group theory
Set.vadd_mem_vadd
∀ {α : Type u_2} {β : Type u_3} [inst : VAdd α β] {s : Set α} {t : Set β} {a : α} {b : β},
a ∈ s → b ∈ t → a +ᵥ b ∈ s +ᵥ t- Cited by
- 3 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- VAdd
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 and proof · cited by 53,352
- HVAdd.hVAddstatement · cited by 1,820
- VAddstatement and proof · cited by 616
- Set.vaddstatement · cited by 72
- Set.mem_image2_of_memproof · cited by 40
Cited by3
Results whose statement or proof uses this declaration.
- IsClosed.vadd_left_of_isCompactproof · cited by 5
- vadd_set_closure_subsetproof · cited by 2
- IsClosed.vadd_right_of_isCompactproof · cited by 0