Theorems · Theorem · field theory
Subfield.relrank_eq_of_inf_eq
∀ {E : Type v} [inst : Field E] {A B C : Subfield E}, A ⊓ C = B ⊓ C → A.relrank C = B.relrank C- Defined in
- Mathlib.FieldTheory.Relrank
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 85 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.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Moduleproof · cited by 20,661
- Semiringproof · cited by 13,802
- AddCommMonoidproof · cited by 12,281
- Algebraproof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- IsScalarTowerproof · cited by 3,896
- Cardinalstatement · cited by 2,598
- SetLikeproof · cited by 1,084
- DivisionRingproof · cited by 1,062
- IntermediateFieldproof · cited by 988
- Module.rankproof · cited by 496
- Semifieldproof · cited by 439
Cited by4
Results whose statement or proof uses this declaration.
- Subfield.lift_relrank_comapproof · cited by 4
- Subfield.lift_relrank_comap_comap_eq_lift_relrank_infproof · cited by 4
- IntermediateField.relrank_eq_of_inf_eqproof · cited by 1
- Subfield.relfinrank_eq_of_inf_eqproof · cited by 0