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Theorems · Theorem · general algebraic systems

DFinsupp.filter_ne_eq_erase

∀ {ι : Type u} {β : ι → Type v} [inst : (i : ι) → Zero (β i)] [inst_1 : DecidableEq ι] (f : Π₀ (i : ι), β i) (i : ι),
  DFinsupp.filter (fun x => x ≠ i) f = DFinsupp.erase i f
Defined in
Mathlib.Data.DFinsupp.Defs
Cited by
2 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
ZeroDecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

DFinsupp.erase_single · cited by 2DFinsupp.erase_singleiSupIndep_iff_forall_dfinsupp · cited by 2iSupIndep_iff_forall_dfin…DFinsupp · cited by 694DFinsuppDFinsupp.erase · cited by 29DFinsupp.eraseDFinsupp.filter · cited by 24DFinsupp.filterDFinsupp.filter_ne_eq_eraseCITED BYCITES

Cites3

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Cited by2

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