Theorems · Theorem · field theory
FinTrdeg.of_trdeg
∀ {K : Type u_1} {L : Type u_2} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L],
Algebra.trdeg K L < Cardinal.aleph0 → FinTrdeg K LAlias of the reverse direction of finTrdeg_iff_trdeg.
- Defined in
- Mathlib.FieldTheory.FinTrdeg
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
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
- Cardinalstatement · cited by 2,598
- Cardinal.aleph0statement · cited by 521
- Algebra.trdegstatement · cited by 39
- FinTrdegstatement · cited by 9
- finTrdeg_iff_trdegproof · cited by 4
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