Theorems · Definition · general algebraic systems
Finsupp.erase
{α : Type u_1} → {M : Type u_5} → [inst : Zero M] → α → (α →₀ M) → α →₀ Merase a f is the finitely supported function equal to f except at a where it is equal to 0.
If a is not in the support of f then erase a f = f.
- Defined in
- Mathlib.Data.Finsupp.Single
- Cited by
- 46 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Zero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsuppstatement and proof · cited by 5,255
- Finsupp.supportproof · cited by 828
- Finset.eraseproof · cited by 455
Cited by50
Results whose statement or proof uses this declaration.
- Finsupp.erase_nestatement · cited by 14
- SkewMonoidAlgebra.eraseproof · cited by 12
- Finsupp.inductionproof · cited by 12
- Finsupp.support_erasestatement · cited by 10
- AddMonoidAlgebra.eraseproof · cited by 10
- Finsupp.erase_of_notMem_supportstatement · cited by 9
- Finsupp.erase_samestatement · cited by 9
- Finsupp.single_add_erasestatement · cited by 6
- MonoidAlgebra.eraseproof · cited by 6
- Finsupp.induction_on_maxproof · cited by 6
- Finsupp.erase_singlestatement · cited by 5
- Finsupp.update_eq_erase_add_singlestatement · cited by 4