Theorems · Theorem · general algebraic systems
DFinsupp.mapRange_def
∀ {ι : Type u} {β₁ : ι → Type v₁} {β₂ : ι → Type v₂} [inst : DecidableEq ι] [inst_1 : (i : ι) → Zero (β₁ i)]
[inst_2 : (i : ι) → Zero (β₂ i)] [inst_3 : (i : ι) → (x : β₁ i) → Decidable (x ≠ 0)] {f : (i : ι) → β₁ i → β₂ i}
{hf : ∀ (i : ι), f i 0 = 0} {g : Π₀ (i : ι), β₁ i},
DFinsupp.mapRange f hf g = DFinsupp.mk g.support fun i => f (↑i) (g ↑i)- Defined in
- Mathlib.Data.DFinsupp.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqZeroZeroDecidable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Finsetstatement · cited by 13,712
- SetLike.coestatement · cited by 8,199
- Set.Elemstatement · cited by 7,166
- DFinsuppstatement and proof · cited by 694
- DFinsupp.supportstatement · cited by 158
- DFinsupp.extproof · cited by 78
- DFinsupp.mapRangestatement · cited by 29
- DFinsupp.mkstatement · cited by 28
Cited by3
Results whose statement or proof uses this declaration.
- DFinsupp.sum_mapRange_indexproof · cited by 3
- DFinsupp.support_mapRangeproof · cited by 1
- DFinsupp.prod_mapRange_indexproof · cited by 1