Theorems · Theorem · field theory
IntermediateField.lift_le
∀ {K : Type u_1} {L : Type u_2} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] {F : IntermediateField K L}
(E : IntermediateField K ↥F), IntermediateField.lift E ≤ F- Cited by
- 3 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- SetLike.coeproof · cited by 8,199
- Fieldstatement and proof · cited by 7,404
- IntermediateFieldstatement and proof · cited by 988
- RingHomClass.toRingHomproof · cited by 746
- IntermediateField.toSubalgebraproof · cited by 134
- Subalgebra.toSubsemiringproof · cited by 115
- IntermediateField.valproof · cited by 42
- IntermediateField.liftstatement and proof · cited by 22
Cited by3
Results whose statement or proof uses this declaration.
- InfiniteGalois.restrict_fixedFieldproof · cited by 2
- IntermediateField.lift_restrictproof · cited by 2
- IntermediateField.finrank_eq_fixingSubgroup_indexproof · cited by 1