Theorems · Theorem · field theory
Subfield.lift_rank_comap
∀ {E : Type v} [inst : Field E] {L : Type w} [inst_1 : Field L] (A : Subfield E) (f : L →+* E),
Cardinal.lift.{v, w} (Module.rank (↥(Subfield.comap f A)) L) = Cardinal.lift.{w, v} (A.relrank f.fieldRange)- Defined in
- Mathlib.FieldTheory.Relrank
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 92 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.
- RingHomstatement and proof · cited by 10,189
- Top.topproof · cited by 9,680
- Fieldstatement and proof · cited by 7,404
- Cardinalstatement · cited by 2,598
- Cardinal.liftstatement and proof · cited by 583
- Module.rankstatement · cited by 496
- Subfieldstatement and proof · cited by 303
- RingHom.fieldRangestatement · cited by 40
- Subfield.relrankstatement and proof · cited by 40
- Subfield.comapstatement and proof · cited by 29
- Subfield.lift_relrank_comapproof · cited by 4
- Subfield.relrank_top_rightproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- IntermediateField.lift_rank_comapproof · cited by 2
- Subfield.finrank_comapproof · cited by 0
- Subfield.rank_comapproof · cited by 0