Theorems · Theorem · field theory
Subfield.relfinrank_eq_one_of_le
∀ {E : Type v} [inst : Field E] {A B : Subfield E}, B ≤ A → A.relfinrank B = 1Alias of the reverse direction of Subfield.relfinrank_eq_one_iff.
- Defined in
- Mathlib.FieldTheory.Relrank
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 123 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Subfieldstatement and proof · cited by 303
- Subfield.relfinrankstatement · cited by 23
- Subfield.relfinrank_eq_one_iffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Subfield.relfinrank_top_leftproof · cited by 0