mem_algebraicClosure_iff

∀ {F : Type u_1} {E : Type u_2} [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] {x : E},
  x ∈ algebraicClosure F E ↔ IsAlgebraic F x

An element is contained in the algebraic closure of F in E if and only if it is an algebraic element.

Defined in: Mathlib.FieldTheory.AlgebraicClosure
Cited by: 5 results in Mathlib
Foundations: Depth 141 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field Field Algebra

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