Theorems · Definition · general algebraic systems
Finsupp.extendDomain
{α : Type u_1} → {M : Type u_12} → [inst : Zero M] → {P : α → Prop} → [DecidablePred P] → (Subtype P →₀ M) → α →₀ MExtend the domain of a Finsupp by using 0 where P x does not hold.
- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 66 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.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsuppstatement and proof · cited by 5,255
- Finsupp.piecewiseproof · cited by 4
Cited by13
Results whose statement or proof uses this declaration.
- Finsupp.extendDomain_applystatement and proof · cited by 4
- Finsupp.restrictSupportEquivproof · cited by 4
- Finset.finsuppAntidiagEquivSubtypeproof · cited by 2
- Finsupp.extendDomain_singlestatement · cited by 2
- Finsupp.restrictSupportEquiv_symm_apply_coestatement and proof · cited by 2
- Finsupp.supportedEquivFinsupp_symm_apply_coestatement and proof · cited by 1
- Finset.finsuppAntidiagEquivSubtype_symm_apply_coestatement · cited by 1
- Finsupp.support_extendDomain_subsetstatement · cited by 0
- Finsupp.subtypeDomain_extendDomainstatement · cited by 0
- Finsupp.extendDomain_eq_embDomain_subtypestatement and proof · cited by 0
- Finsupp.extendDomain_subtypeDomainstatement · cited by 0
- Finsupp.extendDomain_supportstatement · cited by 0