Theorems · Theorem · field theory

Field.Emb.Cardinal.equivLim_coherence

∀ {F : Type u} {E : Type v} [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E]
  [rank_inf : Fact (Cardinal.aleph0 ≤ Module.rank F E)] [inst_3 : Algebra.IsAlgebraic F E]
  {i : WithTop (Module.rank F E).ord.ToType} (hi : Order.IsSuccPrelimit i)
  (x : ↥(Field.Emb.Cardinal.filtration i) →ₐ[F] AlgebraicClosure E) (l : ↑(Set.Iio i)),
  ↑((Field.Emb.Cardinal.equivLim hi) x) l = Field.Emb.Cardinal.embFunctor F E ⋯ x

Defined in

Mathlib.FieldTheory.CardinalEmb

Cited by

0 results in Mathlib

Foundations

Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebraFactAlgebra.IsAlgebraic