Mathlib Map

Theorems · Theorem · linear algebra

Finsupp.lapply_apply

∀ {α : Type u_1} {M : Type u_2} {R : Type u_5} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  (a : α) (f : α →₀ M), (Finsupp.lapply a) f = f a
Defined in
Mathlib.LinearAlgebra.Finsupp.Defs
Cited by
2 results in Mathlib
Foundations
Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringAddCommMonoidModule
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

linearIndependent_iff'ₛ · cited by 9linearIndependent_iff'ₛModuleCat.FreeMonoidal.εIso_inv_freeMk · cited by 1FreeMonoidal.εIso_inv_fre…DFunLike.coe · cited by 62936DFunLike.coeModule · cited by 20661ModuleRingHom.id · cited by 18349RingHom.idSemiring · cited by 13802SemiringAddCommMonoid · cited by 12281AddCommMonoidLinearMap · cited by 10215LinearMapFinsupp · cited by 5255FinsuppFinsupp.lapply · cited by 19Finsupp.lapplyFinsupp.lapply_applyCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.