Theorems · Theorem · linear algebra
Matrix.blockTriangular_algebraMap
∀ {α : Type u_1} {m : Type u_3} {R : Type v} {A : Type u_8} {b : m → α} [inst : LinearOrder α] [inst_1 : CommSemiring R]
[inst_2 : Semiring A] [inst_3 : Algebra R A] [inst_4 : DecidableEq m] [inst_5 : Fintype m] (r : R),
((algebraMap R (Matrix m m A)) r).BlockTriangular b- Defined in
- Mathlib.LinearAlgebra.Matrix.Block
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- LinearOrderstatement and proof · cited by 8,572
- Fintypestatement and proof · cited by 7,736
- Algebra.algebraMapstatement and proof · cited by 4,706
- Matrixstatement · cited by 4,303
- Matrix.BlockTriangularstatement · cited by 45
- Pi.constRingHomproof · cited by 3
- Matrix.blockTriangular_diagonalproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.blockTriangularSubalgebraproof · cited by 1