AffineBasis.finiteDimensional
∀ {ι : Type u₁} {k : Type u₂} {V : Type u₃} {P : Type u₄} [inst : AddCommGroup V] [inst_1 : AddTorsor V P]
[inst_2 : DivisionRing k] [inst_3 : Module k V] [Finite ι] (b : AffineBasis ι k P), FiniteDimensional k V- Cited by
- 2 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Finitestatement and proof · cited by 3,029
- FiniteDimensionalstatement and proof · cited by 1,854
- AddTorsorstatement and proof · cited by 1,657
- DivisionRingstatement and proof · cited by 1,062
- AffineBasisstatement and proof · cited by 65
- Module.Basis.finiteDimensional_of_finiteproof · cited by 21
- AffineBasis.basisOfproof · cited by 11
- AffineBasis.nonemptyproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- AffineBasis.card_eq_finrank_add_oneproof · cited by 1
- AffineBasis.interior_convexHullproof · cited by 1