Theorems · Definition · linear algebra
DFinsupp.lsingle
{ι : Type u_1} →
{R : Type u_3} →
{M : ι → Type u_5} →
[inst : Semiring R] →
[inst_1 : (i : ι) → AddCommMonoid (M i)] →
[inst_2 : (i : ι) → Module R (M i)] → [DecidableEq ι] → (i : ι) → M i →ₗ[R] Π₀ (i : ι), M iDFinsupp.single as a LinearMap
- Defined in
- Mathlib.LinearAlgebra.DFinsupp
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 33 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.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- LinearMapstatement · cited by 10,215
- AddMonoidHomproof · cited by 3,230
- DFinsuppstatement and proof · cited by 694
- DFinsupp.singleproof · cited by 113
- DFinsupp.singleAddHomproof · cited by 17
Cited by27
Results whose statement or proof uses this declaration.
- DirectSum.lofproof · cited by 79
- DFinsupp.lsumproof · cited by 21
- MultilinearMap.fromDFinsuppEquivproof · cited by 8
- PiTensorProduct.ofDFinsuppEquivproof · cited by 7
- DFinsupp.comul_singlestatement and proof · cited by 3
- DFinsupp.lhom_ext'statement and proof · cited by 3
- PiTensorProduct.ofDFinsuppEquiv_tprod_applyproof · cited by 2
- PiTensorProduct.ofDFinsuppEquiv_tprod_singleproof · cited by 2
- MultilinearMap.dfinsupp_extstatement and proof · cited by 2
- TensorProduct.restrictScalar_directSumRightproof · cited by 2
- DFinsupp.lsum_lsinglestatement and proof · cited by 1
- PiTensorProduct.ofDFinsuppEquiv_symm_single_tprodproof · cited by 1