Theorems · Theorem · commutative algebra
IsAdjoinRoot.adjoinRootAlgEquiv_symm_apply_eq_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) (a : S), h.adjoinRootAlgEquiv.symm a = (AdjoinRoot.mk f) (h.repr a)- Defined in
- Mathlib.RingTheory.IsAdjoinRoot
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites17
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
- RingHomstatement · cited by 10,189
- 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
- IsAdjoinRootstatement and proof · cited by 61
- AdjoinRoot.mkstatement and proof · cited by 50
- IsAdjoinRoot.mapproof · cited by 32
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