Theorems · Theorem · commutative algebra
Algebra.Generators.baseChangeFromBaseChange_apply
∀ {R : Type u} {S : Type v} {ι : Type w} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
(P : Algebra.Generators R S ι) {T : Type u_2} [inst_3 : CommRing T] [inst_4 : Algebra R T]
(x : P.toExtension.baseChange.Ring),
(P.baseChangeFromBaseChange T).toRingHom x = (MvPolynomial.algebraTensorAlgEquiv R T) x- Defined in
- Mathlib.RingTheory.Extension.Generators
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Finsuppstatement · cited by 5,255
- TensorProductstatement · cited by 2,545
- MvPolynomialstatement · cited by 2,140
- AlgEquivstatement · cited by 1,681
- Algebra.Extension.Ringstatement and proof · cited by 179
- Algebra.Generatorsstatement and proof · cited by 152
- Algebra.Generators.Ringstatement · cited by 133
- Algebra.Generators.toExtensionstatement and proof · cited by 103
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