Theorems · Theorem · field theory
IsConjRoot.refl
∀ {R : Type u_1} {A : Type u_5} [inst : CommRing R] [inst_1 : Ring A] [inst_2 : Algebra R A] {x : A}, IsConjRoot R x xEvery element is a conjugate root of itself.
- Defined in
- Mathlib.FieldTheory.Minpoly.IsConjRoot
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- IsConjRootstatement · cited by 43
Cited by1
Results whose statement or proof uses this declaration.
- ConjRootClass.exists_mem_carrier_add_eq_zeroproof · cited by 0