Theorems · Theorem · commutative algebra
AdjoinRoot.algEquivOfEq_toAlgHom
∀ {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 : f = g), ↑(AdjoinRoot.algEquivOfEq R f g hfg) = AdjoinRoot.algHomOfDvd R f g ⋯- Defined in
- Mathlib.RingTheory.AdjoinRoot
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- AlgEquiv.toAlgHomstatement · cited by 273
- AdjoinRootstatement · cited by 177
- Eq.dvdstatement · cited by 14
- AdjoinRoot.algHomOfDvdstatement · cited by 6
- AdjoinRoot.algEquivOfEqstatement · cited by 5
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