Theorems · Definition · general algebraic systems
DFinsupp.extendWith
{ι : Type u} →
{α : Option ι → Type v} →
[inst : (i : Option ι) → Zero (α i)] → α none → (Π₀ (i : ι), α (some i)) → Π₀ (i : Option ι), α iAdds a term to a dfinsupp, making a dfinsupp indexed by an Option.
This is the dfinsupp version of Option.rec.
- Defined in
- Mathlib.Data.DFinsupp.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
- Assumes
- Zero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Multisetproof · cited by 2,627
- Multiset.mapproof · cited by 876
- DFinsuppstatement and proof · cited by 694
- Multiset.consproof · cited by 313
- DFinsupp.toFunproof · cited by 5
- DFinsupp.support'proof · cited by 5
- Trunc.mapproof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- DFinsupp.equivProdDFinsuppproof · cited by 4
- DFinsupp.extendWith_nonestatement · cited by 2
- DFinsupp.extendWith_somestatement · cited by 2
- DFinsupp.equivProdDFinsupp_symm_applystatement · cited by 0
- DFinsupp.extendWith_single_zerostatement · cited by 0
- DFinsupp.extendWith_zerostatement · cited by 0