Theorems · Theorem · general algebraic systems
Finsupp.mapDomain_sum
∀ {α : Type u_1} {β : Type u_2} {M : Type u_5} {N : Type u_6} [inst : AddCommMonoid M] [inst_1 : Zero N] {f : α → β}
{s : α →₀ N} {v : α → N → α →₀ M}, Finsupp.mapDomain f (s.sum v) = s.sum fun a b => Finsupp.mapDomain f (v a b)- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoidZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- Finsuppstatement and proof · cited by 5,255
- Finsupp.sumstatement · cited by 481
- Finsupp.mapDomainstatement · cited by 168
- map_finsuppSumproof · cited by 43
- Finsupp.mapDomain.addMonoidHomproof · cited by 19
Cited by2
Results whose statement or proof uses this declaration.
- MonoidAlgebra.mapDomain_sumproof · cited by 1
- AddMonoidAlgebra.mapDomain_sumproof · cited by 1