Theorems · Theorem · commutative algebra
AdjoinRoot.coe_algHomOfDvd
∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] (f g : Polynomial S)
(hgf : g ∣ f),
⇑(AdjoinRoot.algHomOfDvd R f g hgf) = ⇑(AdjoinRoot.liftAlgHom f (Algebra.ofId S (AdjoinRoot g)) (AdjoinRoot.root g) ⋯)- Defined in
- Mathlib.RingTheory.AdjoinRoot
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 118 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 · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- AlgHomstatement · cited by 3,236
- Polynomial.aevalstatement · cited by 615
- AdjoinRootstatement · cited by 177
- Algebra.ofIdstatement · cited by 166
- AdjoinRoot.rootstatement · cited by 77
- AdjoinRoot.mkstatement · cited by 50
- AdjoinRoot.liftAlgHomstatement · cited by 16
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