Theorems · Theorem · commutative algebra
integralClosure_eq_top_iff
∀ {R : Type u_1} {A : Type u_2} [inst : CommRing R] [inst_1 : CommRing A] [inst_2 : Algebra R A],
integralClosure R A = ⊤ ↔ Algebra.IsIntegral R A- Cited by
- 0 results in Mathlib
- Foundations
- Depth 137 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- Top.topstatement · cited by 9,680
- Subalgebrastatement · cited by 1,353
- Algebra.IsIntegralstatement and proof · cited by 224
- top_le_iffproof · cited by 175
- integralClosurestatement · cited by 105
- Subalgebra.topEquivproof · cited by 9
- AlgEquiv.isIntegral_iffproof · cited by 3
- le_integralClosure_iff_isIntegralproof · cited by 3
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