Theorems · Theorem · linear algebra
Matrix.entryLinearMap_toAddMonoidHom
∀ {m : Type u_2} {n : Type u_3} {R : Type u_7} {α : Type u_11} [inst : Semiring R] [inst_1 : AddCommMonoid α]
[inst_2 : Module R α] {i : m} {j : n}, ↑(Matrix.entryLinearMap R α i j) = Matrix.entryAddMonoidHom α i j- Defined in
- Mathlib.Data.Matrix.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
- Assumes
- SemiringAddCommMonoidModule
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- LinearMapstatement · cited by 10,215
- RingHomstatement · cited by 10,189
- Matrixstatement · cited by 4,303
- AddMonoidHomstatement · cited by 3,230
- AddMonoidHomClass.toAddMonoidHomstatement · cited by 232
- Matrix.entryLinearMapstatement · cited by 10
- Matrix.entryAddMonoidHomstatement · cited by 6
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