Theorems · Theorem · field theory
IntermediateField.relfinrank_comap
∀ {F : Type u} {E : Type v} [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] {L : Type w} [inst_3 : Field L]
[inst_4 : Algebra F L] (A : IntermediateField F E) (f : L →ₐ[F] E) (B : IntermediateField F L),
(IntermediateField.comap f A).relfinrank B = A.relfinrank (IntermediateField.map f B)- Defined in
- Mathlib.FieldTheory.Relrank
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Fieldstatement and proof · cited by 7,404
- AlgHomstatement and proof · cited by 3,236
- IntermediateFieldstatement and proof · cited by 988
- Cardinal.toNatproof · cited by 153
- IntermediateField.mapstatement and proof · cited by 62
- IntermediateField.relrankproof · cited by 45
- Cardinal.toNat_liftproof · cited by 41
- IntermediateField.relfinrankstatement · cited by 27
- IntermediateField.comapstatement and proof · cited by 25
- IntermediateField.lift_relrank_comapproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.