Theorems · Theorem · commutative algebra
AdjoinRoot.coe_mapAlgEquiv
∀ {R : Type u_1} {S : Type u_2} {T : Type u_3} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : CommRing T]
[inst_3 : Algebra R S] [inst_4 : Algebra R T] (f : S ≃ₐ[R] T) (p : Polynomial S) (q : Polynomial T)
(h : Associated (Polynomial.map (↑f) p) q), ⇑(AdjoinRoot.mapAlgEquiv f p q h) = ⇑(AdjoinRoot.map (↑f) p q ⋯)- Defined in
- Mathlib.RingTheory.AdjoinRoot
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 119 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
- AlgEquivstatement and proof · cited by 1,681
- Polynomial.mapstatement and proof · cited by 806
- RingHomClass.toRingHomstatement and proof · cited by 746
- Associatedstatement and proof · cited by 296
- AdjoinRootstatement · cited by 177
- Associated.symmstatement · cited by 87
- Associated.dvdstatement · cited by 38
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