Theorems · Theorem · general algebraic systems
Finsupp.filter_eq_indicator
∀ {α : Type u_1} {M : Type u_5} [inst : Zero M] (p : α → Prop) [inst_1 : DecidablePred p] (f : α →₀ M),
⇑(Finsupp.filter p f) = {x | p x}.indicator ⇑f- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ZeroDecidablePred
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Set.ofPredstatement and proof · cited by 6,101
- Finsuppstatement and proof · cited by 5,255
- Set.indicatorstatement · cited by 723
- Set.indicator_applyproof · cited by 48
- Finsupp.filterstatement · cited by 36
Cited by3
Results whose statement or proof uses this declaration.
- Finsupp.filter_eq_self_iffproof · cited by 1
- Finsupp.filter_eq_zero_iffproof · cited by 1
- Finsupp.filter_smulproof · cited by 0