Theorems · Theorem · field theory
FinTrdeg.of_isTranscendenceBasis
∀ {K : Type u_1} {L : Type u_2} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] {ι : Type u_3} [Finite ι]
{x : ι → L}, IsTranscendenceBasis K x → FinTrdeg K L- 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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Cites11
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
- Finitestatement and proof · cited by 3,029
- Cardinalproof · cited by 2,598
- Cardinal.aleph0proof · cited by 521
- IsTranscendenceBasisstatement and proof · cited by 74
- Cardinal.lift_lt_aleph0proof · cited by 10
- FinTrdegstatement · cited by 9
- IsTranscendenceBasis.lift_cardinalMk_eq_trdegproof · cited by 7
- finTrdeg_iff_trdegproof · cited by 4
- Cardinal.mk_lt_aleph0proof · cited by 1
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