Theorems · Theorem · field theory
IntermediateField.fixingSubgroup_antitone
∀ {F : Type u_1} [inst : Field F] {E : Type u_2} [inst_1 : Field E] [inst_2 : Algebra F E],
Antitone IntermediateField.fixingSubgroup- Defined in
- Mathlib.FieldTheory.Galois.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 58 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
- Fieldstatement and proof · cited by 7,404
- Subgroupstatement · cited by 3,593
- AlgEquivstatement · cited by 1,681
- IntermediateFieldstatement and proof · cited by 988
- Antitonestatement · cited by 563
- IntermediateField.fixingSubgroupstatement · cited by 41
- IntermediateField.fixingSubgroup_leproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- IntermediateField.fixingSubgroup_supproof · cited by 1
- krullTopology_mem_nhds_one_iff_of_normalproof · cited by 1