Theorems · Theorem · field theory
IntermediateField.lift_adjoin
∀ (F : Type u_1) [inst : Field F] {E : Type u_2} [inst_1 : Field E] [inst_2 : Algebra F E] (K : IntermediateField F E)
(S : Set ↥K), IntermediateField.lift (IntermediateField.adjoin F S) = IntermediateField.adjoin F (Subtype.val '' S)- Cited by
- 5 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Set.imagestatement · cited by 5,609
- IntermediateFieldstatement and proof · cited by 988
- IntermediateField.adjoinstatement · cited by 382
- IntermediateField.valproof · cited by 42
- IntermediateField.liftstatement · cited by 22
- IntermediateField.adjoin_mapproof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- NumberField.hermiteTheorem.finite_of_discr_bdd_of_isComplexproof · cited by 1
- NumberField.hermiteTheorem.finite_of_discr_bdd_of_isRealproof · cited by 1
- separableClosure.adjoin_eq_of_isAlgebraicproof · cited by 1
- IntermediateField.lift_adjoin_simpleproof · cited by 1
- IsGalois.sup_rightproof · cited by 0