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Theorems · Theorem · linear algebra

Matrix.isDiag_one

∀ {α : Type u_1} {n : Type u_4} [inst : DecidableEq n] [inst_1 : Zero α] [inst_2 : One α], Matrix.IsDiag 1

Every identity matrix is diagonal.

Defined in
Mathlib.LinearAlgebra.Matrix.IsDiag
Cited by
1 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext, Quot.sound
Assumes
DecidableEqZeroOne
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Matrix.isDiag_smul_one · cited by 0Matrix.isDiag_smul_oneMatrix · cited by 4303MatrixMatrix.one_apply_ne · cited by 39Matrix.one_apply_neMatrix.IsDiag · cited by 25Matrix.IsDiagMatrix.isDiag_oneCITED BYCITES

Cites3

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

Cited by1

Results whose statement or proof uses this declaration.