Theorems · Theorem · number theory
FunctionField.Algebra.IsAlgebraic.adjoin_algebraMap_X
∀ {F : Type u_3} {K : Type u_4} [inst : Field F] [inst_1 : Field K] [inst_2 : Algebra (RatFunc F) K] [FunctionField F K]
[inst_4 : Algebra F K] [IsScalarTower F (RatFunc F) K],
Algebra.IsAlgebraic (↥F⟮(algebraMap (RatFunc F) K) RatFunc.X⟯) K- Defined in
- Mathlib.NumberTheory.FunctionField
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
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- Setstatement · cited by 53,352
- Algebrastatement and proof · cited by 11,388
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- Fieldstatement and proof · cited by 7,404
- Polynomialstatement · cited by 5,681
- Algebra.algebraMapstatement and proof · cited by 4,706
- IsScalarTowerstatement and proof · cited by 3,896
- IntermediateFieldstatement · cited by 988
- nonZeroDivisorsstatement · cited by 895
- IntermediateField.adjoinstatement and proof · cited by 382
- Algebra.IsAlgebraicstatement · cited by 322
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