Theorems · Theorem · commutative algebra
AdjoinRoot.coe_algEquivOfAssociated
∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] (f g : Polynomial S)
(hfg : Associated f g), ⇑(AdjoinRoot.algEquivOfAssociated R f g hfg) = ⇑(AdjoinRoot.algHomOfDvd R f g ⋯)- Defined in
- Mathlib.RingTheory.AdjoinRoot
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Polynomialstatement and proof · cited by 5,681
- AlgHomstatement · cited by 3,236
- AlgEquivstatement · cited by 1,681
- Associatedstatement and proof · cited by 296
- AdjoinRootstatement · cited by 177
- Associated.symmstatement · cited by 87
- Associated.dvdstatement · cited by 38
- AdjoinRoot.algHomOfDvdstatement · cited by 6
- AdjoinRoot.algEquivOfAssociatedstatement · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- AdjoinRoot.algEquivOfAssociated_rootproof · cited by 0