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Theorems · Theorem · linear algebra

Matrix.diagonal_one

∀ {n : Type u_3} {α : Type v} [inst : DecidableEq n] [inst_1 : Zero α] [inst_2 : One α],
  (Matrix.diagonal fun x => 1) = 1
Defined in
Mathlib.Data.Matrix.Diagonal
Cited by
13 results in Mathlib
Foundations
Depth 16 from the axioms · uses Quot.sound
Assumes
DecidableEqZeroOne
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Matrix.mul_one · cited by 45Matrix.mul_oneMatrix.det_one · cited by 35Matrix.det_oneMatrix.one_mul · cited by 30Matrix.one_mulMatrix.one_mulVec · cited by 12Matrix.one_mulVecMatrix.vecMul_one · cited by 5Matrix.vecMul_oneMatrix.reverse_charpoly · cited by 3Matrix.reverse_charpolyMatrix.det_kroneckerMapBilinear · cited by 2Matrix.det_kroneckerMapBi…Matrix.detp_neg_one_one · cited by 2Matrix.detp_neg_one_oneMatrix.detp_one_one · cited by 2Matrix.detp_one_oneLieAlgebra.Orthogonal.s_as_blocks · cited by 1Orthogonal.s_as_blocksMatrix.permanent_one · cited by 0Matrix.permanent_oneMatrix.diagonal_eq_one · cited by 0Matrix.diagonal_eq_oneMatrix.exists_rank_normal_form · cited by 0Matrix.exists_rank_normal…Matrix · cited by 4303MatrixMatrix.diagonal · cited by 314Matrix.diagonalMatrix.diagonal_oneCITED BYCITES

Cites2

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

Cited by13

Results whose statement or proof uses this declaration.