Theorems · Definition · real analysis
BoxIntegral.BoxAdditiveMap.map
{ι : Type u_1} →
{M : Type u_2} →
{N : Type u_3} →
[inst : AddCommMonoid M] →
[inst_1 : AddCommMonoid N] →
{I₀ : WithTop (BoxIntegral.Box ι)} →
BoxIntegral.BoxAdditiveMap ι M I₀ → (M →+ N) → BoxIntegral.BoxAdditiveMap ι N I₀If g : M → N is an additive map and f is a box additive map, then g ∘ f is a box additive
map.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoidAddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- WithTopstatement and proof · cited by 3,754
- AddMonoidHomstatement and proof · cited by 3,230
- WithTop.someproof · cited by 1,128
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Prepartitionproof · cited by 199
- BoxIntegral.BoxAdditiveMapstatement and proof · cited by 92
- BoxIntegral.Prepartition.IsPartitionproof · cited by 30
Cited by4
Results whose statement or proof uses this declaration.
- BoxIntegral.BoxAdditiveMap.toSMulproof · cited by 17
- BoxIntegral.hasIntegral_constproof · cited by 3
- BoxIntegral.integralSum_biUnion_partitionproof · cited by 1
- BoxIntegral.BoxAdditiveMap.map_applystatement and proof · cited by 0