Theorems · Theorem · commutative algebra
IsAdjoinRoot.adjoinRootAlgEquiv_symm_apply_root
∀ {R : Type u} {S : Type v} [inst : CommRing R] [inst_1 : Ring S] {f : Polynomial R} [inst_2 : Algebra R S]
(h : IsAdjoinRoot S f), h.adjoinRootAlgEquiv.symm h.root = AdjoinRoot.root f- Defined in
- Mathlib.RingTheory.IsAdjoinRoot
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Ringstatement and proof · cited by 7,463
- Polynomialstatement and proof · cited by 5,681
- AlgEquivstatement · cited by 1,681
- AlgEquiv.symmstatement · cited by 615
- AdjoinRootstatement · cited by 177
- AdjoinRoot.rootstatement · cited by 77
- IsAdjoinRootstatement and proof · cited by 61
- IsAdjoinRoot.rootstatement · cited by 34
- IsAdjoinRoot.adjoinRootAlgEquivstatement and proof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- IsAdjoinRoot.algEquiv_rootproof · cited by 1