Theorems · Theorem · linear algebra
FiniteDimensional.isUnit
∀ (F : Type u_1) {K : Type u_2} [inst : Field F] [inst_1 : Ring K] [IsDomain K] [inst_3 : Algebra F K]
[FiniteDimensional F K] {x : K}, x ≠ 0 → IsUnit x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Fieldstatement and proof · cited by 7,404
- IsDomainstatement and proof · cited by 2,196
- FiniteDimensionalstatement and proof · cited by 1,854
- IsUnitstatement · cited by 1,602
- DivisionRingproof · cited by 1,062
- Ne.isUnitproof · cited by 99
- divisionRingOfFiniteDimensionalproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IsIntegral.isUnitproof · cited by 1