Theorems · Definition · group theory
UniqueAdd
{G : Type u_1} → [Add G] → Finset G → Finset G → G → G → PropLet G be a Type with addition, let A B : Finset G be finite subsets and
let a0 b0 : G be two elements. UniqueAdd A B a0 b0 asserts a0 + b0 can be written in at
most one way as a sum of an element from A and an element from B.
- Defined in
- Mathlib.Algebra.Group.UniqueProds.Basic
- Cited by
- 27 results in Mathlib
- Foundations
- Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Add
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
Cited by31
Results whose statement or proof uses this declaration.
- UniqueAdd.of_addOppositestatement and proof · cited by 4
- UniqueSums.uniqueAdd_of_nonemptystatement · cited by 3
- UniqueAdd.of_addHom_imagestatement and proof · cited by 3
- TwoUniqueSums.uniqueAdd_of_one_lt_cardstatement · cited by 2
- UniqueSums.of_addHomproof · cited by 1
- TwoUniqueSums.of_addHomproof · cited by 1
- UniqueAdd.addHom_image_iffstatement and proof · cited by 1
- UniqueAdd.addHom_map_iffstatement and proof · cited by 1
- UniqueAdd.iff_card_le_onestatement and proof · cited by 1
- UniqueAdd.iff_existsUniquestatement and proof · cited by 1
- UniqueAdd.of_card_le_onestatement · cited by 1
- UniqueAdd.to_addOppositestatement and proof · cited by 1