Theorems · Theorem · field theory
Subfield.relrank_self
∀ {E : Type v} [inst : Field E] (A : Subfield E), A.relrank A = 1- Defined in
- Mathlib.FieldTheory.Relrank
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 122 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.
Cites10
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
- Cardinalstatement and proof · cited by 2,598
- le_reflproof · cited by 2,061
- IntermediateFieldproof · cited by 988
- Module.rankproof · cited by 496
- Subfieldstatement and proof · cited by 303
- Subfield.relrankstatement · cited by 40
- Subfield.relrank_eq_rank_of_leproof · cited by 7
- IntermediateField.rank_botproof · cited by 5
- Subfield.extendScalars_selfproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Subfield.relfinrank_selfproof · cited by 1
- IntermediateField.relrank_selfproof · cited by 0