Theorems · Theorem · field theory
IntermediateField.relrank_inf_mul_relrank
∀ {F : Type u} {E : Type v} [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] (A B C : IntermediateField F E),
A.relrank (B ⊓ C) * B.relrank C = (A ⊓ B).relrank C- Defined in
- Mathlib.FieldTheory.Relrank
- Cited by
- 3 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.
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
- IntermediateField.relrankstatement · cited by 45
- IntermediateField.toSubfieldproof · cited by 38
- Subfield.relrank_inf_mul_relrankproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- IntermediateField.relrank_inf_mul_relrank_of_leproof · cited by 2
- IntermediateField.relrank_mul_relrank_eq_inf_relrankproof · cited by 1
- IntermediateField.relfinrank_inf_mul_relfinrankproof · cited by 0