Theorems · Theorem · field theory
AlgEquiv.adjoinSingletonEquivAdjoinRootMinpoly_symm_toAlgHom
∀ (F : Type u_1) [inst : Field F] {R : Type u_2} [inst_1 : CommRing R] [inst_2 : Algebra F R] (x : R),
↑(AlgEquiv.adjoinSingletonEquivAdjoinRootMinpoly F x).symm = AdjoinRoot.Minpoly.toAdjoin F x- Defined in
- Mathlib.RingTheory.Adjoin.Field
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- AlgHomstatement · cited by 3,236
- Subalgebrastatement · cited by 1,353
- AlgEquiv.symmstatement · cited by 615
- Algebra.adjoinstatement · cited by 535
- minpolystatement · cited by 439
- AlgEquiv.toAlgHomstatement · cited by 273
- AdjoinRootstatement · cited by 177
- AdjoinRoot.Minpoly.toAdjoinstatement · cited by 9
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