Theorems · Definition · linear algebra
Pi.spanSubset
(R : Type u_2) → {η : Type u_4} → [inst : Semiring R] → [Finite η] → Set η → Submodule R (η → R)The R-submodule of η → R consisting of functions supported in the subset s.
- Defined in
- Mathlib.LinearAlgebra.StdBasis
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Semiringstatement and proof · cited by 13,802
- Submodulestatement · cited by 7,192
- Set.imageproof · cited by 5,609
- Finitestatement and proof · cited by 3,029
- Submodule.spanproof · cited by 1,504
- Pi.basisFunproof · cited by 78
Cited by5
Results whose statement or proof uses this declaration.
- QuadraticForm.sigPos_weightedSumSquaresproof · cited by 2
- Pi.dim_spanSubsetstatement · cited by 2
- QuadraticForm.radical_weightedSumSquaresstatement · cited by 1
- Pi.mem_spanSubset_iffstatement · cited by 0
- Pi.spanSubset.congr_simpstatement and proof · cited by 0