Theorems · Theorem · field theory
FinTrdeg.exists_fg_isAlgebraic
∀ (K : Type u_1) (L : Type u_2) {inst : Field K} {inst_1 : Field L} {inst_2 : Algebra K L} [self : FinTrdeg K L],
∃ E, E.FG ∧ Algebra.IsAlgebraic (↥E) L- Defined in
- Mathlib.FieldTheory.FinTrdeg
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FinTrdeg
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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
- Algebra.IsAlgebraicstatement · cited by 322
- IntermediateField.FGstatement · cited by 17
- FinTrdegstatement and proof · cited by 9
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