Theorems · Theorem · field theory
IntermediateField.lift_adjoin_simple
∀ (F : Type u_1) [inst : Field F] {E : Type u_2} [inst_1 : Field E] [inst_2 : Algebra F E] (K : IntermediateField F E)
(α : ↥K), IntermediateField.lift F⟮α⟯ = F⟮↑α⟯- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- IntermediateFieldstatement and proof · cited by 988
- IntermediateField.adjoinstatement and proof · cited by 382
- Set.image_singletonproof · cited by 174
- IntermediateField.liftstatement · cited by 22
- IntermediateField.lift_adjoinproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Field.exists_primitive_element_of_finite_intermediateFieldproof · cited by 1