Theorems · Theorem · linear algebra
Subalgebra.isSimpleOrder_of_finrank
∀ {F : Type u_1} {E : Type u_2} [inst : Field F] [inst_1 : Ring E] [inst_2 : Algebra F E],
Module.finrank F E = 2 → IsSimpleOrder (Subalgebra F E)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- Top.topproof · cited by 9,680
- Ringstatement and proof · cited by 7,463
- Fieldstatement and proof · cited by 7,404
- Bot.botproof · cited by 4,720
- Nontrivialproof · cited by 2,416
- le_antisymmproof · cited by 2,068
- FiniteDimensionalproof · cited by 1,854
- Module.finrankstatement and proof · cited by 1,770
- Subalgebrastatement and proof · cited by 1,353
- Subalgebra.toSubmoduleproof · cited by 141
Cited by1
Results whose statement or proof uses this declaration.
- IsAlgClosed.nonempty_algEquiv_or_of_finrank_eq_twoproof · cited by 1