Theorems · Theorem · field theory
IntermediateField.relfinrank_eq_one_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},
B ≤ A → A.relfinrank B = 1Alias of the reverse direction of IntermediateField.relfinrank_eq_one_iff.
- Defined in
- Mathlib.FieldTheory.Relrank
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- IntermediateFieldstatement and proof · cited by 988
- IntermediateField.relfinrankstatement · cited by 27
- IntermediateField.relfinrank_eq_one_iffproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- IntermediateField.relfinrank_bot_rightproof · cited by 0
- IntermediateField.relfinrank_top_leftproof · cited by 0