Theorems · Theorem · field theory
Subfield.lift_relrank_comap_comap_eq_lift_relrank_of_surjective
∀ {E : Type v} [inst : Field E] {L : Type w} [inst_1 : Field L] (A B : Subfield E) (f : L →+* E),
Function.Surjective ⇑f →
Cardinal.lift.{v, w} ((Subfield.comap f A).relrank (Subfield.comap f B)) = Cardinal.lift.{w, v} (A.relrank B)- Defined in
- Mathlib.FieldTheory.Relrank
- Cited by
- 2 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHomstatement and proof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Cardinalstatement · cited by 2,598
- Cardinal.liftstatement · cited by 583
- Subfieldstatement and proof · cited by 303
- Subfield.relrankstatement · cited by 40
- Subfield.comapstatement · cited by 29
- Subfield.lift_relrank_comap_comap_eq_lift_relrank_of_leproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Subfield.relfinrank_comap_comap_eq_relfinrank_of_surjectiveproof · cited by 0
- Subfield.relrank_comap_comap_eq_relrank_of_surjectiveproof · cited by 0