Theorems · Theorem · field theory

Field.Emb.Cardinal.iSup_filtration

∀ {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},
  Order.IsSuccPrelimit i → ⨆ j, Field.Emb.Cardinal.filtration ↑j = Field.Emb.Cardinal.filtration i

Defined in

Mathlib.FieldTheory.CardinalEmb

Cited by

0 results in Mathlib

Foundations

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

Assumes

FieldFieldAlgebraFactAlgebra.IsAlgebraic