Theorems · Theorem · general algebraic systems
DFinsupp.filter_apply
∀ {ι : Type u} {β : ι → Type v} [inst : (i : ι) → Zero (β i)] (p : ι → Prop) [inst_1 : DecidablePred p] (i : ι)
(f : Π₀ (i : ι), β i), (DFinsupp.filter p f) i = if p i then f i else 0- Defined in
- Mathlib.Data.DFinsupp.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- ZeroDecidablePred
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- DFinsuppstatement and proof · cited by 694
- DFinsupp.filterstatement · cited by 24
Cited by1
Results whose statement or proof uses this declaration.
- DFinsupp.filter_eqproof · cited by 1