Theorems · Theorem · general algebraic systems
DFinsupp.sumAddHom_piSingle
∀ {ι : Type u} {γ : Type w} {β : ι → Type v} [inst : DecidableEq ι] [inst_1 : (i : ι) → AddZeroClass (β i)]
[inst_2 : AddCommMonoid γ] (i : ι) (φ : β i →+ γ),
DFinsupp.sumAddHom (Pi.single i φ) = φ.comp (DFinsupp.evalAddMonoidHom i)- Defined in
- Mathlib.Data.DFinsupp.BigOperators
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · 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
- DFinsuppstatement and proof · cited by 694
- Pi.singlestatement and proof · cited by 518
- AddMonoidHom.compstatement and proof · cited by 339
- ZeroHomproof · cited by 161
- AddMonoidHom.toZeroHomproof · cited by 61
- DFinsupp.sumAddHomstatement and proof · cited by 38
- ZeroHom.compproof · cited by 16
- Pi.apply_singleproof · cited by 11
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