Theorems · Theorem · field theory
IntermediateField.relrank_inf_mul_relrank_of_le
∀ {F : Type u} {E : Type v} [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] {A B : IntermediateField F E}
(C : IntermediateField F E), A ≤ B → A.relrank (B ⊓ C) * B.relrank C = A.relrank C- Defined in
- Mathlib.FieldTheory.Relrank
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Cardinalstatement · cited by 2,598
- IntermediateFieldstatement and proof · cited by 988
- inf_of_le_leftproof · cited by 186
- IntermediateField.relrankstatement and proof · cited by 45
- IntermediateField.relrank_inf_mul_relrankproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- IntermediateField.relfinrank_inf_mul_relfinrank_of_leproof · cited by 1
- IntermediateField.relrank_dvd_of_le_leftproof · cited by 0