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Theorems · Definition · group theory

UniqueAdd

{G : Type u_1} → [Add G] → Finset G → Finset G → G → G → Prop

Let 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

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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.