Theorems · Theorem · linear algebra
matPolyEquiv_smul_one
∀ {R : Type u_1} [inst : CommSemiring R] {n : Type w} [inst_1 : DecidableEq n] [inst_2 : Fintype n] (p : Polynomial R),
matPolyEquiv (p • 1) = Polynomial.map (algebraMap R (Matrix n n R)) p- Cited by
- 3 results in Mathlib
- Foundations
- Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Fintypestatement and proof · cited by 7,736
- Polynomialstatement and proof · cited by 5,681
- Algebra.algebraMapstatement and proof · cited by 4,706
- Matrixstatement and proof · cited by 4,303
- mul_oneproof · cited by 3,885
- MulZeroClass.mul_zeroproof · cited by 2,091
- AlgEquivstatement · cited by 1,681
- Polynomial.coeffproof · cited by 1,045
- Polynomial.mapstatement · cited by 806
- Matrix.extproof · cited by 540
Cited by3
Results whose statement or proof uses this declaration.
- Matrix.aeval_self_charpolyproof · cited by 6
- eval_det_add_X_smulproof · cited by 2
- matPolyEquiv_map_smulproof · cited by 1