Theorems · Theorem · commutative algebra
IsIntegrallyClosed.of_equiv
∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] (f : R ≃+* S) [h : IsIntegrallyClosed R],
IsIntegrallyClosed S- Cited by
- 3 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.
Cites20
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
- Algebraproof · cited by 11,388
- Algebra.algebraMapproof · cited by 4,706
- AlgEquivproof · cited by 1,681
- RingEquivstatement and proof · cited by 1,147
- AlgEquiv.symmproof · cited by 615
- RingEquiv.symmproof · cited by 567
- IsIntegralproof · cited by 427
- RingHom.toAlgebraproof · cited by 337
- IsIntegrallyClosedstatement and proof · cited by 203
- FractionRingproof · cited by 200
Cited by3
Results whose statement or proof uses this declaration.
- IsIntegrallyClosed.of_localization_submonoidproof · cited by 1
- IsIntegrallyClosed.of_iInf_eq_botproof · cited by 1
- IsIntegrallyClosed.of_isLocalization_maximalproof · cited by 1