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Theorems · Theorem · linear algebra

Matrix.diagonal_injective

∀ {n : Type u_3} {α : Type v} [inst : DecidableEq n] [inst_1 : Zero α], Function.Injective Matrix.diagonal
Defined in
Mathlib.Data.Matrix.Diagonal
Cited by
6 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.scalar_inj · cited by 1Matrix.scalar_injMatrix.diagonal_eq_one · cited by 0Matrix.diagonal_eq_oneMatrix.diagonal_eq_zero · cited by 0Matrix.diagonal_eq_zeroMatrix.diagonal_eq_intCast · cited by 0Matrix.diagonal_eq_intCastMatrix.diagonal_eq_natCast · cited by 0Matrix.diagonal_eq_natCastMatrix.diagonal_eq_ofNat · cited by 0Matrix.diagonal_eq_ofNatMatrix · cited by 4303MatrixMatrix.diagonal · cited by 314Matrix.diagonalMatrix.diagonal_apply_eq · cited by 64Matrix.diagonal_apply_eqMatrix.ext_iff · cited by 18Matrix.ext_iffMatrix.diagonal_injectiveCITED BYCITES

Cites4

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

Cited by6

Results whose statement or proof uses this declaration.