Theorems · Theorem · group theory
Set.mem_vadd_set
∀ {α : Type u_2} {β : Type u_3} [inst : VAdd α β] {t : Set β} {a : α} {x : β}, x ∈ a +ᵥ t ↔ ∃ y ∈ t, a +ᵥ y = x- Cited by
- 7 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.vaddSetstatement · cited by 403
Cited by7
Results whose statement or proof uses this declaration.
- AddAction.isBlock_iff_vadd_eq_of_memproof · cited by 2
- vadd_ball''proof · cited by 2
- Set.op_vadd_inter_nonempty_iffproof · cited by 1
- Set.op_vadd_set_vadd_eq_vadd_vadd_setproof · cited by 1
- Set.vadd_set_vsub_vadd_setproof · cited by 1
- Set.vadd_inter_nonempty_iffproof · cited by 1
- vadd_closedBall''proof · cited by 0