Theorems · Theorem · linear algebra
Module.Basis.coe_ofSpan
∀ {K : Type u_3} {V : Type u_4} [inst : DivisionRing K] [inst_1 : AddCommGroup V] [inst_2 : Module K V] {s : Set V}
(hs : ⊤ ≤ Submodule.span K s), ⇑(Module.Basis.ofSpan hs) = Subtype.val- Defined in
- Mathlib.LinearAlgebra.Basis.VectorSpace
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Top.topstatement and proof · cited by 9,680
- Submodulestatement · cited by 7,192
- Set.Elemstatement · cited by 7,166
- Submodule.spanstatement and proof · cited by 1,504
- Module.Basisstatement · cited by 1,477
- DivisionRingstatement and proof · cited by 1,062
- Set.empty_subsetstatement · cited by 70
- LinearIndepOn.extendstatement · cited by 28
Cited by1
Results whose statement or proof uses this declaration.
- Module.Basis.range_ofSpanproof · cited by 0