Theorems · Theorem · commutative algebra
Polynomial.degreeLT.basis_repr
∀ {R : Type u_1} [inst : Semiring R] {n : ℕ} (i : Fin n) (P : ↥(Polynomial.degreeLT R n)),
((Polynomial.degreeLT.basis R n).repr P) i = (↑P).coeff ↑i- Defined in
- Mathlib.RingTheory.Polynomial.DegreeLT
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- Submodulestatement · cited by 7,192
- Polynomialstatement and proof · cited by 5,681
- Finsuppstatement · cited by 5,255
- LinearEquivstatement · cited by 3,317
- Polynomial.coeffstatement · cited by 1,045
- Module.Basis.reprstatement · cited by 498
- Polynomial.degreeLTstatement and proof · cited by 47
- Polynomial.degreeLT.basisstatement · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.det_taylorLinearEquiv_toLinearMapproof · cited by 1