Theorems · Theorem · linear algebra
RingHom.map_adjugate
∀ {n : Type v} [inst : DecidableEq n] [inst_1 : Fintype n] {R : Type u_1} {S : Type u_2} [inst_2 : CommRing R]
[inst_3 : CommRing S] (f : R →+* S) (M : Matrix n n R), f.mapMatrix M.adjugate = (f.mapMatrix M).adjugate- Defined in
- Mathlib.LinearAlgebra.Matrix.Adjugate
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- Matrix.detproof · cited by 665
- Matrix.extproof · cited by 540
- Pi.singleproof · cited by 518
- Matrix.mapproof · cited by 247
- RingHom.map_oneproof · cited by 76
- RingHom.mapMatrix_applyproof · cited by 73
- Matrix.adjugatestatement and proof · cited by 64
Cited by3
Results whose statement or proof uses this declaration.
- Matrix.adjugate_mul_distribproof · cited by 3
- Matrix.adjugate_conjTransposeproof · cited by 2
- AlgHom.map_adjugateproof · cited by 2