Theorems · Theorem · general algebraic systems
DFinsupp.liftAddHom_apply_single
∀ {ι : Type u} {γ : Type w} {β : ι → Type v} [inst : DecidableEq ι] [inst_1 : (i : ι) → AddZeroClass (β i)]
[inst_2 : AddCommMonoid γ] (f : (i : ι) → β i →+ γ) (i : ι) (x : β i),
((DFinsupp.liftAddHom f) fun₀ | i => x) = (f i) xThe DFinsupp version of Finsupp.liftAddHom_apply_single
- Defined in
- Mathlib.Data.DFinsupp.BigOperators
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
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 and proof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- AddMonoidHomstatement and proof · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- AddEquivstatement · cited by 1,087
- DFinsuppstatement · cited by 694
- DFinsupp.singlestatement and proof · cited by 113
- DFinsupp.sumAddHom_singleproof · cited by 17
- DFinsupp.liftAddHomstatement · cited by 11
- DFinsupp.liftAddHom_applyproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- DirectSum.toAddMonoid_ofproof · cited by 8