Theorems · Theorem · field theory
Subfield.lift_relrank_map_map
∀ {E : Type v} [inst : Field E] {L : Type w} [inst_1 : Field L] (A B : Subfield E) (f : E →+* L),
Cardinal.lift.{v, w} ((Subfield.map f A).relrank (Subfield.map f B)) = Cardinal.lift.{w, v} (A.relrank B)- Defined in
- Mathlib.FieldTheory.Relrank
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- RingHom.injectiveproof · cited by 187
- RingEquiv.transproof · cited by 54
- Subfield.relrankstatement · cited by 40
- Subring.mapproof · cited by 33
- Subfield.mapstatement · cited by 30
- Subfield.toSubringproof · cited by 23
- Algebra.lift_rank_eq_of_equiv_equivproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- Subfield.lift_relrank_comapproof · cited by 4
- Subfield.lift_relrank_comap_comap_eq_lift_relrank_infproof · cited by 4
- Subfield.relfinrank_map_mapproof · cited by 0
- Subfield.relrank_map_mapproof · cited by 0