Theorems · Theorem · field theory
Subfield.relfinrank_mul_finrank_top
∀ {E : Type v} [inst : Field E] {A B : Subfield E},
A ≤ B → A.relfinrank B * Module.finrank (↥B) E = Module.finrank (↥A) E- Defined in
- Mathlib.FieldTheory.Relrank
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Module.finrankstatement · cited by 1,770
- map_mulproof · cited by 1,137
- Module.rankproof · cited by 496
- Subfieldstatement and proof · cited by 303
- Cardinal.toNatproof · cited by 153
- Subfield.relrankproof · cited by 40
- Subfield.relfinrankstatement · cited by 23
- Subfield.relrank_mul_rank_topproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Subfield.relfinrank_dvd_finrank_top_of_leproof · cited by 0