Theorems · Theorem · linear algebra
matPolyEquiv_coeff_apply
∀ {R : Type u_1} [inst : CommSemiring R] {n : Type w} [inst_1 : DecidableEq n] [inst_2 : Fintype n]
(m : Matrix n n (Polynomial R)) (k : ℕ) (i j : n), (matPolyEquiv m).coeff k i j = (m i j).coeff k- Cited by
- 5 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- CommSemiringstatement and proof · cited by 10,911
- Fintypestatement and proof · cited by 7,736
- Polynomialstatement and proof · cited by 5,681
- Matrixstatement and proof · cited by 4,303
- AlgEquivstatement · cited by 1,681
- map_zeroproof · cited by 1,614
- Polynomial.coeffstatement and proof · cited by 1,045
- map_addproof · cited by 964
- Matrix.singleproof · cited by 129
- Polynomial.coeff_addproof · cited by 77
- matPolyEquivstatement and proof · cited by 23
Cited by5
Results whose statement or proof uses this declaration.
- Matrix.matPolyEquiv_charmatrixproof · cited by 3
- matPolyEquiv_smul_oneproof · cited by 3
- matPolyEquiv_eq_X_pow_sub_Cproof · cited by 1
- matPolyEquiv_symm_apply_coeffproof · cited by 0
- support_subset_support_matPolyEquivproof · cited by 0