Theorems · Theorem · linear algebra
Matrix.adjugate_one
∀ {n : Type v} {α : Type w} [inst : DecidableEq n] [inst_1 : Fintype n] [inst_2 : CommRing α], Matrix.adjugate 1 = 1- Defined in
- Mathlib.LinearAlgebra.Matrix.Adjugate
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintypeCommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- Matrixstatement · cited by 4,303
- Matrix.extproof · cited by 540
- Pi.singleproof · cited by 518
- Matrix.ofproof · cited by 336
- Pi.single_applyproof · cited by 78
- Matrix.adjugatestatement · cited by 64
- Matrix.cramerproof · cited by 27
- Matrix.transpose_oneproof · cited by 22
- Matrix.cramer_oneproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.det_smul_adjugate_adjugateproof · cited by 1
- Matrix.adjugate_powproof · cited by 0