Theorems · Theorem · commutative algebra
IsAdjoinRoot.algEquiv_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) {T : Type u_1} [inst_3 : Ring T] [inst_4 : Algebra R T] (h' : IsAdjoinRoot T f),
(h.algEquiv h') h.root = h'.root- Defined in
- Mathlib.RingTheory.IsAdjoinRoot
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · 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
- IsAdjoinRootstatement and proof · cited by 61
- IsAdjoinRoot.rootstatement and proof · cited by 34
- IsAdjoinRoot.algEquivstatement · cited by 12
- IsAdjoinRoot.adjoinRootAlgEquivproof · cited by 11
- IsAdjoinRoot.adjoinRootAlgEquiv_symm_apply_rootproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- IsAdjoinRoot.algEquiv_mapproof · cited by 1