Theorems · Theorem · linear algebra
Algebra.IsQuadraticExtension.finrank_eq_two
∀ (R : Type u_2) (S : Type u_3) [inst : CommSemiring R] [inst_1 : StrongRankCondition R] [inst_2 : Semiring S] [inst_3 : Algebra R S] [Algebra.IsQuadraticExtension R S], Module.finrank R S = 2
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 91 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.
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Module.finrankstatement · cited by 1,770
- StrongRankConditionstatement and proof · cited by 286
- Algebra.IsQuadraticExtensionstatement and proof · cited by 11
- Algebra.IsQuadraticExtension.finrank_eq_two'proof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- NumberField.IsCMField.zpowers_complexConj_eq_topproof · cited by 1
- NumberField.IsCMField.isConj_eq_isConjproof · cited by 1
- NumberField.IsCMField.card_infinitePlace_eq_card_infinitePlaceproof · cited by 1