Theorems · Theorem · commutative algebra
integralClosure_le_algebraicClosure
∀ (R : Type u_1) (S : Type u_2) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] [inst_3 : IsDomain R], integralClosure R S ≤ Subalgebra.algebraicClosure R S
- Defined in
- Mathlib.RingTheory.Algebraic.Integral
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 138 from the axioms · uses propext, Classical.choice, Quot.sound
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- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- IsDomainstatement and proof · cited by 2,196
- Subalgebrastatement · cited by 1,353
- integralClosurestatement · cited by 105
- IsIntegral.isAlgebraicproof · cited by 18
- Subalgebra.algebraicClosurestatement · cited by 8
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