Mathlib Map

Theorems · Theorem · linear algebra

Matrix.blockDiagonal_apply_eq

∀ {m : Type u_2} {n : Type u_3} {o : Type u_4} {α : Type u_12} [inst : DecidableEq o] [inst_1 : Zero α]
  (M : o → Matrix m n α) (i : m) (j : n) (k : o), Matrix.blockDiagonal M (i, k) (j, k) = M k i j
Defined in
Mathlib.Data.Matrix.Block
Cited by
3 results in Mathlib
Foundations
Depth 15 from the axioms · uses Quot.sound
Assumes
DecidableEqZero
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Matrix.det_blockDiagonal · cited by 4Matrix.det_blockDiagonalMatrix.blockDiag_blockDiagonal · cited by 3Matrix.blockDiag_blockDia…Algebra.smulTower_leftMulMatrix_algebraMap_eq · cited by 0Algebra.smulTower_leftMul…Matrix · cited by 4303MatrixMatrix.blockDiagonal · cited by 53Matrix.blockDiagonalMatrix.blockDiagonal_apply_eqCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.