Theorems · Theorem · commutative algebra
MvPolynomial.coeff_rTensorAlgEquiv_tmul
∀ {R : Type u} {N : Type v} [inst : CommSemiring R] {σ : Type u_1} {S : Type u_3} [inst_1 : CommSemiring S]
[inst_2 : Algebra R S] [inst_3 : CommSemiring N] [inst_4 : Algebra R N] (s : S) (p : MvPolynomial σ N) (d : σ →₀ ℕ),
MvPolynomial.coeff d (MvPolynomial.rTensorAlgEquiv (s ⊗ₜ[R] p)) = s ⊗ₜ[R] MvPolynomial.coeff d p- Cited by
- 1 results in Mathlib
- Foundations
- Depth 92 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
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement and proof · cited by 5,255
- TensorProductstatement · cited by 2,545
- MvPolynomialstatement and proof · cited by 2,140
- AlgEquivstatement · cited by 1,681
- TensorProduct.tmulstatement and proof · cited by 1,182
- AddMonoidAlgebra.coeffproof · cited by 365
- MvPolynomial.coeffstatement · cited by 315
- Algebra.TensorProduct.includeRightproof · cited by 165
- MvPolynomial.rTensorAlgEquivstatement · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.coeff_rTensorAlgEquiv_monomial_tmulproof · cited by 0