Theorems · Theorem · general algebraic systems
DFinsupp.extendWith_some
∀ {ι : Type u} {α : Option ι → Type v} [inst : (i : Option ι) → Zero (α i)] (f : Π₀ (i : ι), α (some i)) (a : α none)
(i : ι), (DFinsupp.extendWith a f) (some i) = f i- Defined in
- Mathlib.Data.DFinsupp.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
- Assumes
- Zero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- DFinsuppstatement and proof · cited by 694
- DFinsupp.extendWithstatement · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- DFinsupp.extendWith_single_zeroproof · cited by 0
- DFinsupp.extendWith_zeroproof · cited by 0