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Theorems · Theorem · linear algebra

Matrix.diagonal_apply

∀ {n : Type u_3} {α : Type v} [inst : DecidableEq n] [inst_1 : Zero α] (d : n → α) (i j : n),
  Matrix.diagonal d i j = if i = j then d i else 0
Defined in
Mathlib.Data.Matrix.Diagonal
Cited by
5 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.sum_single_eq_diagonal · cited by 4Matrix.sum_single_eq_diag…toMatrix_distrib_mul_action_toLinearMap · cited by 1toMatrix_distrib_mul_acti…Matrix.natCast_apply · cited by 1Matrix.natCast_applyPolynomial.sylvester_zero_left_deg · cited by 1Polynomial.sylvester_zero…Matrix.intCast_apply · cited by 0Matrix.intCast_applyMatrix.diagonal · cited by 314Matrix.diagonalMatrix.diagonal_applyCITED BYCITES

Cites1

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Cited by5

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