Theorems · Theorem · group theory
Set.mem_vadd
∀ {α : Type u_2} {β : Type u_3} [inst : VAdd α β] {s : Set α} {t : Set β} {b : β},
b ∈ s +ᵥ t ↔ ∃ x ∈ s, ∃ y ∈ t, x +ᵥ y = b- Cited by
- 2 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.
Cites4
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
Cited by2
Results whose statement or proof uses this declaration.
- Set.IsWF.min_vaddproof · cited by 1
- Set.op_vadd_set_vadd_eq_vadd_vadd_setproof · cited by 1