Theorems · Definition · linear algebra
Matrix.uniqueRingEquiv
{m : Type u_1} → {A : Type u_3} → [inst : Unique m] → [inst_1 : NonUnitalNonAssocSemiring A] → Matrix m m A ≃+* AM₁(A) and A are equivalent as rings.
- Defined in
- Mathlib.LinearAlgebra.Matrix.Unique
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matrixstatement and proof · cited by 4,303
- RingEquivstatement · cited by 1,147
- AddEquivproof · cited by 1,087
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- Uniquestatement and proof · cited by 400
- AddEquiv.toEquivproof · cited by 174
- Matrix.uniqueAddEquivproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- Matrix.uniqueAlgEquivproof · cited by 2
- Matrix.uniqueRingEquiv_applystatement and proof · cited by 0
- Matrix.uniqueRingEquiv_symm_applystatement and proof · cited by 0