Theorems · Theorem · group theory
Set.vadd_mem_vadd_set
∀ {α : Type u_2} {β : Type u_3} [inst : VAdd α β] {s : Set β} {a : α} {b : β}, b ∈ s → a +ᵥ b ∈ a +ᵥ s- Cited by
- 9 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 and proof · cited by 1,820
- VAddstatement and proof · cited by 616
- Set.vaddSetstatement · cited by 403
- Set.mem_image_of_memproof · cited by 371
Cited by9
Results whose statement or proof uses this declaration.
- geometric_hahn_banach_openproof · cited by 4
- cauchy_davenport_minOrder_addproof · cited by 2
- AddAction.properVAdd_iff_isCompact_setOfPred_inter_nonemptyproof · cited by 2
- AddAction.stabilizer_add_selfproof · cited by 2
- preimage_vadd_setₛₗ'proof · cited by 1
- IsLinearSet.closureproof · cited by 1
- AddAction.isPreprimitive_of_is_two_pretransitiveproof · cited by 1
- AddAction.op_vadd_set_stabilizer_subsetproof · cited by 1
- isApproximateAddSubgroup_zeroproof · cited by 0