Theorems · Theorem · linear algebra
Matrix.blockDiag_blockDiagonal
∀ {m : Type u_2} {n : Type u_3} {o : Type u_4} {α : Type u_12} [inst : Zero α] [inst_1 : DecidableEq o]
(M : o → Matrix m n α), (Matrix.blockDiagonal M).blockDiag = M- Defined in
- Mathlib.Data.Matrix.Block
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- ZeroDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Matrix.extproof · cited by 540
- Matrix.blockDiagonalstatement · cited by 53
- Matrix.blockDiagstatement · cited by 16
- Matrix.blockDiagonal_apply_eqproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Matrix.blockDiagonal_injectiveproof · cited by 1
- summable_matrix_blockDiagonalproof · cited by 0
- Matrix.blockDiagonal_tsumproof · cited by 0