Theorems · Theorem · commutative algebra
MvPolynomial.sumAlgEquiv_comp_rename_inl
∀ (R : Type u) (S₁ : Type v) (S₂ : Type w) [inst : CommSemiring R],
(↑(MvPolynomial.sumAlgEquiv R S₁ S₂)).comp (MvPolynomial.rename Sum.inl) =
MvPolynomial.mapAlgHom (Algebra.ofId R (MvPolynomial S₂ R))- Defined in
- Mathlib.Algebra.MvPolynomial.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement and proof · cited by 5,255
- AlgHomstatement · cited by 3,236
- MvPolynomialstatement and proof · cited by 2,140
- MvPolynomial.Xproof · cited by 552
- AlgHom.compstatement and proof · cited by 501
- MvPolynomial.Cproof · cited by 400
- MvPolynomial.coeffproof · cited by 315
- AlgEquiv.toAlgHomstatement and proof · cited by 273
- MvPolynomial.renamestatement and proof · cited by 168
- Algebra.ofIdstatement and proof · cited by 166
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