Theorems · Theorem · field theory
IntermediateField.relrank_comap_comap_eq_relrank_of_surjective
∀ {F : Type u} {E : Type v} [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] (A B : IntermediateField F E)
{L : Type v} [inst_3 : Field L] [inst_4 : Algebra F L] (f : L →ₐ[F] E),
Function.Surjective ⇑f → (IntermediateField.comap f A).relrank (IntermediateField.comap f B) = A.relrank B- Defined in
- Mathlib.FieldTheory.Relrank
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
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- Algebrastatement and proof · cited by 11,388
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- IntermediateField.relrankstatement and proof · cited by 45
- IntermediateField.comapstatement and proof · cited by 25
- IntermediateField.lift_relrank_comap_comap_eq_lift_relrank_of_surjectiveproof · cited by 2
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