Theorems · Theorem · field theory
IsConjRoot.isIntegral_iff
∀ {R : Type u_1} {A : Type u_5} [inst : CommRing R] [inst_1 : Ring A] [inst_2 : Algebra R A] {x y : A},
IsConjRoot R x y → (IsIntegral R x ↔ IsIntegral R y)- Defined in
- Mathlib.FieldTheory.Minpoly.IsConjRoot
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- IsIntegralstatement and proof · cited by 427
- IsConjRootstatement and proof · cited by 43
- IsConjRoot.symmproof · cited by 4
- IsConjRoot.isIntegralproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.