Theorems · Definition · general algebraic systems
Finsupp.subtypeDomain
{α : Type u_1} → {M : Type u_5} → [inst : Zero M] → (p : α → Prop) → (α →₀ M) → Subtype p →₀ MsubtypeDomain p f is the restriction of the finitely supported function f to subtype p.
- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 26 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.subtypeproof · cited by 41
Cited by30
Results whose statement or proof uses this declaration.
- Finsupp.restrictSupportEquivproof · cited by 4
- linearIndepOn_iffₛproof · cited by 3
- Finsupp.subtypeDomain_eq_iffstatement · cited by 2
- Finsupp.subtypeDomain_eq_iff_forallstatement · cited by 2
- Finsupp.restrictSupportEquiv_symm_apply_coeproof · cited by 2
- Finset.finsuppAntidiagEquivSubtypeproof · cited by 2
- Finsupp.subtypeDomain_piecewisestatement · cited by 1
- Finsupp.subtypeDomain_sumstatement · cited by 1
- Finsupp.lsubtypeDomainproof · cited by 1
- Finsupp.support_subtypeDomainstatement and proof · cited by 1
- Finsupp.sum_subtypeDomain_indexstatement and proof · cited by 1
- Finset.finsuppAntidiagEquivSubtype_apply_coestatement · cited by 1