Theorems · Theorem · linear algebra
Finsupp.supported_eq_span_single
∀ {α : Type u_1} (R : Type u_5) [inst : Semiring R] (s : Set α),
Finsupp.supported R R s = Submodule.span R ((fun i => fun₀ | i => 1) '' s)- Defined in
- Mathlib.LinearAlgebra.Finsupp.Supported
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
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.imagestatement and proof · cited by 5,609
- Finsuppstatement and proof · cited by 5,255
- mul_oneproof · cited by 3,885
- Submodule.spanstatement and proof · cited by 1,504
- Finsupp.singlestatement and proof · cited by 943
- Finsupp.supportproof · cited by 828
- Set.mem_image_of_memproof · cited by 371
- Submodule.subset_spanproof · cited by 234
Cited by3
Results whose statement or proof uses this declaration.
- AddMonoidAlgebra.supported_eq_span_singleproof · cited by 5
- Finsupp.single_mem_span_singleproof · cited by 1
- MonoidAlgebra.supported_eq_span_singleproof · cited by 0