Theorems · Theorem · linear algebra
Matrix.Represents.algebraMap
∀ {ι : Type u_1} [inst : Fintype ι] {M : Type u_2} [inst_1 : AddCommGroup M] {R : Type u_3} [inst_2 : CommRing R]
[inst_3 : Module R M] {b : ι → M} [inst_4 : DecidableEq ι] (r : R),
Matrix.Represents b ((algebraMap R (Matrix ι ι R)) r) ((algebraMap R (Module.End R M)) r)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- RingHomstatement · cited by 10,189
- Fintypestatement and proof · cited by 7,736
- Algebra.algebraMapstatement and proof · cited by 4,706
- Matrixstatement and proof · cited by 4,303
- Module.Endstatement and proof · cited by 774
- Algebra.algebraMap_eq_smul_oneproof · cited by 119
- Matrix.Representsstatement · cited by 14
- Matrix.Represents.congr_simpproof · cited by 1
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