Theorems · Theorem · field theory

finite_of_isTranscendenceBasis

∀ {K : Type u_1} {L : Type u_2} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] [FinTrdeg K L] {ι : Type u_3}
  {x : ι → L}, IsTranscendenceBasis K x → Finite ι

Defined in

Mathlib.FieldTheory.FinTrdeg

Cited by

1 results in Mathlib

Foundations

Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebraFinTrdeg