Theorems · Definition · general algebraic systems
Function.support
{ι : Type u_1} → {M : Type u_3} → [Zero M] → (ι → M) → Set ιsupport of a function is the set of points x such that f x ≠ 0.
- Defined in
- Mathlib.Algebra.Notation.Support
- Cited by
- 610 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 13 definitions · uses no axioms
- Assumes
- Zero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.ofPredproof · cited by 6,101
Cited by663
Results whose statement or proof uses this declaration.
- Summable.hasSumproof · cited by 184
- tsupportproof · cited by 178
- Function.HasFiniteSupportproof · cited by 113
- MeromorphicOn.divisorproof · cited by 90
- HahnSeries.supportproof · cited by 84
- PMF.supportproof · cited by 58
- Function.mem_supportstatement · cited by 54
- HahnSeries.extproof · cited by 53
- Equiv.tsum_eqproof · cited by 44
- Function.support_subset_iff'statement · cited by 35
- Function.locallyFinsuppWithin.supportproof · cited by 29
- Function.notMem_supportstatement · cited by 29
Showing the 200 most cited of 663.