Theorems · Definition · group theory
Finset.vadd
{α : Type u_2} → {β : Type u_3} → [DecidableEq β] → [VAdd α β] → VAdd (Finset α) (Finset β)The pointwise sum of two finsets s and t: s +ᵥ t = {x +ᵥ y | x ∈ s, y ∈ t}.
- Cited by
- 35 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqVAdd
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.
- Finsetstatement · cited by 13,712
- HVAdd.hVAddproof · cited by 1,820
- VAddstatement and proof · cited by 616
- Finset.image₂proof · cited by 104
Cited by35
Results whose statement or proof uses this declaration.
- Finset.coe_vaddstatement · cited by 3
- Finset.mem_vaddstatement · cited by 1
- Finset.op_vadd_finset_vadd_eq_vadd_vadd_finsetstatement · cited by 1
- Finset.card_vadd_lestatement · cited by 1
- Finset.union_vaddstatement · cited by 0
- Finset.image_vadd_productstatement · cited by 0
- Finset.union_vadd_inter_subset_unionstatement · cited by 0
- Set.toFinset_vaddstatement · cited by 0
- Finset.card_dvd_card_vadd_rightstatement · cited by 0
- Finset.Nonempty.of_vadd_leftstatement · cited by 0
- Finset.Nonempty.of_vadd_rightstatement · cited by 0
- Finset.empty_vaddstatement · cited by 0