Theorems · Theorem · commutative algebra
MvPolynomial.algebraTensorAlgEquiv_symm_comp_aeval
∀ (R : Type u) [inst : CommSemiring R] {σ : Type u_1} (A : Type u_4) [inst_1 : CommSemiring A] [inst_2 : Algebra R A],
(AlgHom.restrictScalars R ↑(MvPolynomial.algebraTensorAlgEquiv R A).symm).comp
(MvPolynomial.mapAlgHom (Algebra.ofId R A)) =
Algebra.TensorProduct.includeRight- Cited by
- 1 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement · cited by 5,255
- Algebra.algebraMapproof · cited by 4,706
- AlgHomstatement · cited by 3,236
- TensorProductstatement · cited by 2,545
- MvPolynomialstatement · cited by 2,140
- TensorProduct.tmulproof · cited by 1,182
- Finsupp.singleproof · cited by 943
- map_oneproof · cited by 861
- AlgEquiv.symmstatement and proof · cited by 615
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.algebraTensorAlgEquiv_symm_mapproof · cited by 2