Theorems · Definition · group theory
Set.vaddSet
{α : Type u_2} → {β : Type u_3} → [VAdd α β] → VAdd α (Set β)The translation of set x +ᵥ s is defined as {x +ᵥ y | y ∈ s} in scope Pointwise.
- Cited by
- 403 results in Mathlib
- Foundations
- Depth 5 from the axioms, rests on 17 definitions · 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 · cited by 53,352
- Set.imageproof · cited by 5,609
- HVAdd.hVAddproof · cited by 1,820
- VAddstatement and proof · cited by 616
Cited by413
Results whose statement or proof uses this declaration.
- Set.mem_vadd_set_iff_neg_vadd_memstatement · cited by 24
- Set.vadd_set_univstatement · cited by 16
- Set.preimage_vaddstatement · cited by 14
- MeasureTheory.measure_vaddstatement · cited by 11
- Set.iUnion_vadd_setstatement · cited by 10
- Set.preimage_vadd_negstatement · cited by 10
- Set.vadd_mem_vadd_set_iffstatement · cited by 10
- Set.vadd_set_interstatement · cited by 10
- mem_leftAddCoset_iffstatement · cited by 9
- Set.vadd_mem_vadd_setstatement · cited by 9
- Finset.coe_vadd_finsetstatement · cited by 9
- Metric.vadd_closedBallstatement · cited by 7
Showing the 200 most cited of 413.