Theorems · Theorem · linear algebra
Matrix.inv_adjugate
∀ {n : Type u'} {α : Type v} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommRing α] (A : Matrix n n α)
(h : IsUnit A.det), A.adjugate⁻¹ = h.unit⁻¹ • A- Cited by
- 0 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableEqCommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- Unitsstatement · cited by 2,804
- Units.valproof · cited by 1,966
- IsUnitstatement and proof · cited by 1,602
- one_smulproof · cited by 1,374
- Matrix.detstatement and proof · cited by 665
- smul_smulproof · cited by 360
- IsUnit.unitstatement and proof · cited by 252
- Matrix.adjugatestatement and proof · cited by 64
- IsUnit.val_inv_mulproof · cited by 35
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.