Mathlib Map

Theorems · Definition · commutative algebra

AdjoinRoot.mapRingEquiv

{R : Type u_1} →
  {S : Type u_2} →
    [inst : CommRing R] →
      [inst_1 : CommRing S] →
        (f : R ≃+* S) →
          (p : Polynomial R) → (q : Polynomial S) → Associated (Polynomial.map (↑f) p) q → AdjoinRoot p ≃+* AdjoinRoot q

AdjoinRoot.map as a RingEquiv.

Defined in
Mathlib.RingTheory.AdjoinRoot
Cited by
2 results in Mathlib
Foundations
Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingCommRing
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AdjoinRoot.coe_mapRingEquiv · cited by 0AdjoinRoot.coe_mapRingEqu…AdjoinRoot.symm_mapRingEquiv · cited by 0AdjoinRoot.symm_mapRingEq…CommRing · cited by 17173CommRingPolynomial · cited by 5681PolynomialRingEquiv · cited by 1147RingEquivPolynomial.map · cited by 806Polynomial.mapRingHomClass.toRingHom · cited by 746RingHomClass.toRingHomRingEquiv.symm · cited by 567RingEquiv.symmAssociated · cited by 296AssociatedAdjoinRoot · cited by 177AdjoinRootRingEquiv.ofRingHom · cited by 9RingEquiv.ofRingHomAdjoinRoot.map · cited by 8AdjoinRoot.mapAdjoinRoot.mapRingEquivCITED BYCITES

Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.