Theorems · Theorem · linear algebra
Finsupp.supportedEquivFinsupp_symm_single
∀ {α : Type u_1} {M : Type u_2} {R : Type u_5} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
(s : Set α) (i : ↑s) (a : M), ↑((Finsupp.supportedEquivFinsupp s).symm fun₀ | i => a) = fun₀ | ↑i => a- Defined in
- Mathlib.LinearAlgebra.Finsupp.Supported
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringAddCommMonoidModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Submodulestatement · cited by 7,192
- Set.Elemstatement and proof · cited by 7,166
- Finsuppstatement · cited by 5,255
- LinearEquivstatement · cited by 3,317
- LinearEquiv.symmstatement · cited by 1,461
- Finsupp.singlestatement and proof · cited by 943
Cited by1
Results whose statement or proof uses this declaration.
- Finsupp.linearCombination_restrictproof · cited by 1