Theorems · Theorem · field theory
Transcendental.algebraicClosure
∀ {F : Type u_1} {E : Type u_2} [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] {a : E},
Transcendental F a → Transcendental (↥(algebraicClosure F E)) a- Defined in
- Mathlib.FieldTheory.AlgebraicClosure
- 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
- Transcendentalstatement and proof · cited by 91
- algebraicClosurestatement and proof · cited by 22
- Transcendental.extendScalarsproof · cited by 4
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