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AlgebraicIndependent.integralClosure

∀ {ι : Type u_1} {R : Type u_2} {A : Type u_4} {x : ι → A} [inst : CommRing R] [inst_1 : CommRing A]
  [inst_2 : Algebra R A],
  AlgebraicIndependent R x → ∀ [NoZeroDivisors A], AlgebraicIndependent (↥(integralClosure R A)) x
Defined in
Mathlib.RingTheory.AlgebraicIndependent.AlgebraicClosure
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Foundations
Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingCommRingAlgebraNoZeroDivisors
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CommRing · cited by 17173CommRingAlgebra · cited by 11388AlgebraSubalgebra · cited by 1353SubalgebraNoZeroDivisors · cited by 545NoZeroDivisorsAlgebraicIndependent · cited by 120AlgebraicIndependentintegralClosure · cited by 105integralClosureAlgebraicIndependent.extendScalars_of_isIntegral · cited by 2AlgebraicIndependent.exte…AlgebraicIndependent.integral…CITED BYCITES

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