Theorems · Theorem · commutative algebra
integralClosure_le_completeIntegralClosure
∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] [IsFractionRing R S],
integralClosure R S ≤ completeIntegralClosure R S- Cited by
- 0 results in Mathlib
- Foundations
- Depth 136 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
- Subalgebrastatement · cited by 1,353
- IsFractionRingstatement and proof · cited by 738
- integralClosurestatement and proof · cited by 105
- completeIntegralClosurestatement · cited by 4
- IsIntegral.isAlmostIntegralproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.