Theorems · Theorem · commutative algebra
AdjoinRoot.isAdjoinRoot_root_eq_root
∀ {R : Type u} [inst : CommRing R] (f : Polynomial R), (AdjoinRoot.isAdjoinRoot f).root = AdjoinRoot.root f- Defined in
- Mathlib.RingTheory.IsAdjoinRoot
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement and proof · cited by 5,681
- AdjoinRootstatement · cited by 177
- AdjoinRoot.rootstatement and proof · cited by 77
- IsAdjoinRoot.rootstatement · cited by 34
- AdjoinRoot.isAdjoinRootstatement · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.adjoin.powerBasis'_minpoly_genproof · cited by 0