Theorems · Theorem · linear algebra
isStablyFiniteRing_iff_isDedekindFiniteMonoid_moduleEnd
∀ {A : Type u_3} [inst : Semiring A],
IsStablyFiniteRing A ↔ ∀ (n : ℕ), IsDedekindFiniteMonoid (Module.End A (Fin n → A))- Defined in
- Mathlib.LinearAlgebra.Matrix.ToLin
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Module.Endstatement and proof · cited by 774
- IsDedekindFiniteMonoidstatement and proof · cited by 23
- IsStablyFiniteRingstatement · cited by 11
- MulEquivClass.isDedekindFiniteMonoid_iffproof · cited by 1
- matrixRingEquivEndVecMulOppositeproof · cited by 1
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