Theorems · Definition · group theory
Finset.add
{α : Type u_2} → [DecidableEq α] → [Add α] → Add (Finset α)The pointwise addition of finsets s + t is defined as {x + y | x ∈ s, y ∈ t} in
scope Pointwise.
- Cited by
- 133 results in Mathlib
- Foundations
- Depth 75 from the axioms, rests on 1,432 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqAdd
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Finset.image₂proof · cited by 104
Cited by135
Results whose statement or proof uses this declaration.
- Finset.coe_addstatement · cited by 19
- Finset.add_mem_addstatement · cited by 12
- Finset.mem_addstatement · cited by 10
- Finset.add_emptystatement · cited by 5
- AddMonoidAlgebra.support_coeff_mul_subsetstatement · cited by 5
- Finset.card_le_card_add_leftstatement · cited by 4
- Finset.card_le_card_add_rightstatement · cited by 4
- Finset.addConst_mul_cardstatement · cited by 4
- Finset.empty_addstatement · cited by 4
- Finset.card_add_lestatement · cited by 4
- Finset.card_singleton_addstatement · cited by 3
- Finset.subset_add_leftstatement · cited by 2