Theorems · Theorem · field theory
Subfield.rank_comap
∀ {E : Type v} [inst : Field E] (A : Subfield E) {L : Type v} [inst_1 : Field L] (f : L →+* E),
Module.rank (↥(Subfield.comap f A)) L = A.relrank f.fieldRange- Defined in
- Mathlib.FieldTheory.Relrank
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- Module.rankstatement and proof · cited by 496
- Subfieldstatement and proof · cited by 303
- Cardinal.lift_idproof · cited by 163
- RingHom.fieldRangestatement and proof · cited by 40
- Subfield.relrankstatement and proof · cited by 40
- Subfield.comapstatement and proof · cited by 29
- Subfield.lift_rank_comapproof · cited by 3
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