Theorems · Theorem · commutative algebra
IsIntegrallyClosed.of_isIntegrallyClosedIn
∀ (R : Type u_4) (K : Type u_5) [inst : CommRing R] [inst_1 : Field K] [inst_2 : Algebra R K] [FaithfulSMul R K] [IsIntegrallyClosedIn R K], IsIntegrallyClosed R
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapproof · cited by 4,706
- AlgHomproof · cited by 3,236
- IsDomainproof · cited by 2,196
- AlgHom.toRingHomproof · cited by 490
- IsIntegralproof · cited by 427
- FaithfulSMulstatement and proof · cited by 340
- IsIntegrallyClosedstatement · cited by 203
- FractionRingproof · cited by 200
Cited by1
Results whose statement or proof uses this declaration.
- IsIntegrallyClosed.of_isIntegrallyClosed_of_isIntegrallyClosedInproof · cited by 0