Mathlib Map

Theorems · Theorem · linear algebra

Matrix.det_toSquareBlock_id

∀ {m : Type u_3} {R : Type v} [inst : CommRing R] [inst_1 : DecidableEq m] [inst_2 : Fintype m] (M : Matrix m m R)
  (i : m), (M.toSquareBlock id i).det = M i i
Defined in
Mathlib.LinearAlgebra.Matrix.Block
Cited by
1 results in Mathlib
Foundations
Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingDecidableEqFintype
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Matrix.det_of_isUpperTriangular · cited by 8Matrix.det_of_isUpperTria…CommRing · cited by 17173CommRingFintype · cited by 7736FintypeMatrix · cited by 4303MatrixMatrix.det · cited by 665Matrix.detMatrix.det_unique · cited by 15Matrix.det_uniqueMatrix.toSquareBlock · cited by 15Matrix.toSquareBlockMatrix.det_toSquareBlock_idCITED BYCITES

Cites6

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.