Theorems · Theorem · commutative algebra
Subalgebra.algebraicClosure_eq_integralClosure
∀ (S : Type u_2) [inst : CommRing S] {K : Type u_4} [inst_1 : Field K] [inst_2 : Algebra K S],
Subalgebra.algebraicClosure K S = integralClosure K 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
- Fieldstatement and proof · cited by 7,404
- Subalgebrastatement · cited by 1,353
- integralClosurestatement · cited by 105
- SetLike.extproof · cited by 92
- isAlgebraic_iff_isIntegralproof · cited by 12
- Subalgebra.algebraicClosurestatement · cited by 8
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