Theorems · Theorem · commutative algebra
MvPolynomial.tensorEquivSum_X_tmul_one
∀ {R : Type u} [inst : CommSemiring R] {σ : Type u_1} {ι : Type u_2} {S : Type u_3} [inst_1 : CommSemiring S]
[inst_2 : Algebra R S] (i : σ),
(MvPolynomial.tensorEquivSum R σ ι S) (MvPolynomial.X i ⊗ₜ[R] 1) = MvPolynomial.X (Sum.inl i)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites42
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
- mul_oneproof · cited by 3,885
- Equiv.symmproof · cited by 3,681
- 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
- Finsupp.singleproof · cited by 943
- map_oneproof · cited by 861
Cited by3
Results whose statement or proof uses this declaration.
- MvPolynomial.pderiv_inr_universalFactorizationMap_Xproof · cited by 1
- MvPolynomial.pderiv_inl_universalFactorizationMap_Xproof · cited by 1
- MvPolynomial.ker_eval₂Hom_universalFactorizationMapproof · cited by 0