Theorems · Theorem · general algebraic systems
Finsupp.sumElim_eq_add
∀ {α : Type u_1} {β : Type u_2} {M : Type u_5} [inst : AddCommMonoid M] (f : α →₀ M) (g : β →₀ M),
f.sumElim g = Finsupp.mapDomain Sum.inl f + Finsupp.mapDomain Sum.inr g- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
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.coeproof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- Finsuppstatement and proof · cited by 5,255
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- Finsupp.extproof · cited by 399
- Finsupp.mapDomainstatement · cited by 168
- Finsupp.sumElimstatement · cited by 25
- Finsupp.mapDomain_applyproof · cited by 11
- Finsupp.mapDomain_of_notMem_rangeproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Finsupp.mapDomain_swap_sumElimproof · cited by 0