Mathlib Map

Theorems · Theorem · general algebraic systems

Finsupp.support_subtypeDomain

∀ {α : Type u_1} {M : Type u_5} [inst : Zero M] {p : α → Prop} [D : DecidablePred p] {f : α →₀ M},
  (Finsupp.subtypeDomain p f).support = Finset.subtype p f.support
Defined in
Mathlib.Data.Finsupp.Basic
Cited by
1 results in Mathlib
Foundations
Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
ZeroDecidablePred
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Matrix.PosDef.hadamard · cited by 0PosDef.hadamardFinset · cited by 13712FinsetFinsupp · cited by 5255FinsuppFinsupp.support · cited by 828Finsupp.supportFinset.subtype · cited by 41Finset.subtypeClassical.decPred · cited by 26Classical.decPredFinsupp.subtypeDomain · cited by 26Finsupp.subtypeDomainFinsupp.support_subtypeDomainCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.