Theorems · Theorem · commutative algebra
Polynomial.degreeLT.basisProd_natAdd
∀ {R : Type u_1} [inst : Semiring R] (m n : ℕ) (i : Fin n),
(Polynomial.degreeLT.basisProd R m n) (Fin.natAdd m i) = (0, (Polynomial.degreeLT.basis R n) i)- Defined in
- Mathlib.RingTheory.Polynomial.DegreeLT
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 108 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.
Cites16
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
- Semiringstatement and proof · cited by 13,802
- Submodulestatement · cited by 7,192
- Polynomialstatement and proof · cited by 5,681
- Module.Basisstatement and proof · cited by 1,477
- LinearMap.inlproof · cited by 72
- LinearMap.inrproof · cited by 62
- Polynomial.degreeLTstatement and proof · cited by 47
- finSumFinEquivproof · cited by 33
- Module.Basis.prodproof · cited by 26
- Polynomial.degreeLT.basisstatement and proof · cited by 15
- Module.Basis.prod_applyproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.degreeLT.addLinearEquiv_natAddproof · cited by 1