Theorems · Definition · group theory
AffineAddMonoid.dim
(M : Type u_1) → [AddCancelCommMonoid M] → ℕ
The dimension of an affine monoid M, namely the minimum n for which M embeds into ℤⁿ.
- Defined in
- Mathlib.Algebra.AffineMonoid.Embedding
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCancelCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Module.finrankproof · cited by 1,770
- AddCancelCommMonoidstatement and proof · cited by 48
- Algebra.GrothendieckAddGroupproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- AffineAddMonoid.embeddingstatement · cited by 1
- AffineAddMonoid.embedding_injectivestatement · cited by 0