Theorems · Theorem · field theory
IntermediateField.relfinrank_mul_finrank_top
∀ {F : Type u} {E : Type v} [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] {A B : IntermediateField F E},
A ≤ B → A.relfinrank B * Module.finrank (↥B) E = Module.finrank (↥A) E- Defined in
- Mathlib.FieldTheory.Relrank
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Module.finrankstatement · cited by 1,770
- map_mulproof · cited by 1,137
- IntermediateFieldstatement and proof · cited by 988
- Module.rankproof · cited by 496
- Cardinal.toNatproof · cited by 153
- IntermediateField.relrankproof · cited by 45
- IntermediateField.relfinrankstatement · cited by 27
- IntermediateField.relrank_mul_rank_topproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- IntermediateField.relfinrank_dvd_finrank_top_of_leproof · cited by 0
- RatFunc.Luroth.eq_adjoin_generatorproof · cited by 0