Theorems · Theorem · field theory
IntermediateField.lift_top
∀ (F : Type u_1) [inst : Field F] {E : Type u_2} [inst_1 : Field E] [inst_2 : Algebra F E] (K : IntermediateField F E),
IntermediateField.lift ⊤ = K- Cited by
- 6 results in Mathlib
- Foundations
- Depth 86 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.
- Algebrastatement and proof · cited by 11,388
- Top.topstatement and proof · cited by 9,680
- Fieldstatement and proof · cited by 7,404
- IntermediateFieldstatement and proof · cited by 988
- IntermediateField.valproof · cited by 42
- IntermediateField.liftstatement · cited by 22
- IntermediateField.fieldRange_valproof · cited by 9
- AlgHom.fieldRange_eq_mapproof · cited by 4
Cited by6
Results whose statement or proof uses this declaration.
- IntermediateField.LinearDisjoint.of_inf_eq_botproof · cited by 2
- NumberField.hermiteTheorem.finite_of_discr_bdd_of_isComplexproof · cited by 1
- NumberField.hermiteTheorem.finite_of_discr_bdd_of_isRealproof · cited by 1
- Field.exists_primitive_element_of_finite_intermediateFieldproof · cited by 1
- separableClosure.adjoin_eq_of_isAlgebraicproof · cited by 1
- IsGalois.sup_rightproof · cited by 0