Theorems · Theorem · commutative algebra
IsAdjoinRoot.adjoinRootAlgEquiv_apply_mk
∀ {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) (g : Polynomial R), h.adjoinRootAlgEquiv ((AdjoinRoot.mk f) g) = h.map g- Defined in
- Mathlib.RingTheory.IsAdjoinRoot
- Cited by
- 2 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
- RingHomstatement · cited by 10,189
- Ringstatement and proof · cited by 7,463
- Polynomialstatement and proof · cited by 5,681
- AlgHomstatement · cited by 3,236
- AlgEquivstatement · cited by 1,681
- AdjoinRootstatement · cited by 177
- IsAdjoinRootstatement and proof · cited by 61
- AdjoinRoot.mkstatement · cited by 50
- IsAdjoinRoot.mapstatement · cited by 32
Cited by2
Results whose statement or proof uses this declaration.
- IsAdjoinRoot.adjoinRootAlgEquiv_apply_eq_mapproof · cited by 2
- IsAdjoinRoot.adjoinRootAlgEquiv_symm_apply_eq_mkproof · cited by 0