Theorems · Theorem · commutative algebra
Algebra.Extension.defaultHom_toRingHom_apply
∀ (R : Type u) (S : Type v) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] (P : Algebra.Extension R S) (p : MvPolynomial S R), (Algebra.Extension.defaultHom R S P).toRingHom p = MvPolynomial.eval₂ (algebraMap R P.Ring) P.σ p
- Defined in
- Mathlib.RingTheory.Extension.Generators
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Algebra.algebraMapstatement · cited by 4,706
- MvPolynomialstatement and proof · cited by 2,140
- Algebra.Extension.Ringstatement · cited by 179
- Algebra.Extensionstatement and proof · cited by 138
- MvPolynomial.eval₂statement · cited by 103
- Algebra.Generators.toExtensionstatement · cited by 103
- Algebra.Extension.Hom.toRingHomstatement and proof · cited by 31
- Algebra.Generators.selfstatement · cited by 22
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