Theorems · Theorem · field theory
AlgebraicIndependent.algebraicClosure
∀ {ι : Type u_1} {F : Type u_5} {E : Type u_6} [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] {x : ι → E},
AlgebraicIndependent F x → AlgebraicIndependent (↥(algebraicClosure F E)) x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 142 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- IntermediateFieldstatement · cited by 988
- AlgebraicIndependentstatement and proof · cited by 120
- algebraicClosurestatement and proof · cited by 22
- AlgebraicIndependent.extendScalarsproof · cited by 4
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