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Theorems · Theorem · linear algebra

Matrix.toBlock_diagonal_self

∀ {m : Type u_2} {α : Type u_12} [inst : DecidableEq m] [inst_1 : Zero α] (d : m → α) (p : m → Prop),
  (Matrix.diagonal d).toBlock p p = Matrix.diagonal fun i => d ↑i
Defined in
Mathlib.Data.Matrix.Block
Cited by
1 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
DecidableEqZero
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Matrix.toBlock_one_self · cited by 1Matrix.toBlock_one_selfMatrix · cited by 4303MatrixMatrix.ext · cited by 540Matrix.extMatrix.diagonal · cited by 314Matrix.diagonalSubtype.val_injective · cited by 232Subtype.val_injectiveMatrix.diagonal_apply_eq · cited by 64Matrix.diagonal_apply_eqMatrix.diagonal_apply_ne · cited by 50Matrix.diagonal_apply_neMatrix.toBlock · cited by 13Matrix.toBlockMatrix.diagonal.congr_simp · cited by 12diagonal.congr_simpMatrix.toBlock_diagonal_selfCITED BYCITES

Cites8

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Cited by1

Results whose statement or proof uses this declaration.