Theorems · Definition · commutative algebra
DFinsupp.coeFnLinearMap
{ι : Type u} →
(γ : Type w) →
{β : ι → Type v} →
[inst : Semiring γ] →
[inst_1 : (i : ι) → AddCommMonoid (β i)] →
[inst_2 : (i : ι) → Module γ (β i)] → (Π₀ (i : ι), β i) →ₗ[γ] (i : ι) → β iCoercion from a DFinsupp to a pi type is a LinearMap.
- Defined in
- Mathlib.Data.DFinsupp.Module
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringAddCommMonoidModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- LinearMapstatement · cited by 10,215
- DFinsuppstatement · cited by 694
Cited by7
Results whose statement or proof uses this declaration.
- DirectSum.coeFnLinearMapproof · cited by 3
- Pi.counit_comp_dFinsuppCoeFnLinearMapstatement and proof · cited by 1
- DFinsupp.range_mapRangeLinearMapstatement and proof · cited by 1
- DFinsupp.ker_mapRangeLinearMapstatement and proof · cited by 1
- Pi.comul_comp_dFinsuppCoeFnLinearMapstatement and proof · cited by 1
- DFinsupp.coeFnLinearMap_applystatement · cited by 0
- Pi.comul_coe_dFinsuppstatement · cited by 0