Theorems · Theorem · general algebraic systems
DFinsupp.liftAddHom_apply
∀ {ι : Type u} {γ : Type w} {β : ι → Type v} [inst : DecidableEq ι] [inst_1 : (i : ι) → AddZeroClass (β i)]
[inst_2 : AddCommMonoid γ] (φ : (i : ι) → β i →+ γ), DFinsupp.liftAddHom φ = DFinsupp.sumAddHom φ- Defined in
- Mathlib.Data.DFinsupp.BigOperators
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.sumAddHomstatement · cited by 38
- DFinsupp.liftAddHomstatement and proof · cited by 11
Cited by6
Results whose statement or proof uses this declaration.
- DFinsupp.sum_singleproof · cited by 4
- DirectSum.mul_eq_dfinsuppSumproof · cited by 3
- DFinsupp.liftAddHom_apply_singleproof · cited by 1
- DFinsupp.liftAddHom_comp_singleproof · cited by 1
- DirectSum.toAddMonoid.uniqueproof · cited by 1
- DFinsupp.sum_sub_indexproof · cited by 0