Theorems · Theorem · ring theory
Finsupp.liftAddHom_symm_apply
∀ {α : Type u_1} {M : Type u_8} {N : Type u_10} [inst : AddZeroClass M] [inst_1 : AddCommMonoid N] (F : (α →₀ M) →+ N)
(x : α), Finsupp.liftAddHom.symm F x = F.comp (Finsupp.singleAddHom x)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddZeroClassAddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- Finsuppstatement and proof · cited by 5,255
- AddMonoidHomstatement and proof · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- AddEquivstatement · cited by 1,087
- AddEquiv.symmstatement · cited by 530
- AddMonoidHom.compstatement · cited by 339
- Finsupp.singleAddHomstatement · cited by 14
- Finsupp.liftAddHomstatement · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- Finsupp.comp_liftAddHomproof · cited by 0