Theorems · Theorem · linear algebra
Matrix.det_of_upperTriangular
Deprecated since 2026-07-30Use Matrix.det_of_isUpperTriangular instead.
∀ {m : Type u_3} {R : Type v} {M : Matrix m m R} [inst : CommRing R] [inst_1 : DecidableEq m] [inst_2 : Fintype m]
[inst_3 : LinearOrder m], M.IsUpperTriangular → M.det = ∏ i, M i iAlias of Matrix.det_of_isUpperTriangular.
- Defined in
- Mathlib.LinearAlgebra.Matrix.Block
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement · cited by 17,173
- LinearOrderstatement · cited by 8,572
- Fintypestatement · cited by 7,736
- Matrixstatement · cited by 4,303
- Finset.univstatement · cited by 3,473
- Finset.prodstatement · cited by 2,356
- Matrix.detstatement · cited by 665
- Matrix.det_of_isUpperTriangularproof · cited by 8
- Matrix.IsUpperTriangularstatement · cited by 8
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.