Theorems · Theorem · general algebraic systems
Finsupp.sumElim_add
∀ {α : Type u_1} {β : Type u_2} {M : Type u_5} [inst : AddZeroClass M] (a b : α →₀ M) (c d : β →₀ M),
(a + b).sumElim (c + d) = a.sumElim c + b.sumElim d- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsuppstatement and proof · cited by 5,255
- AddZeroClassstatement and proof · cited by 1,237
- Finsupp.extproof · cited by 399
- Finsupp.sumElimstatement · cited by 25
Cited by1
Results whose statement or proof uses this declaration.
- Finsupp.image_sumElim_product_antidiagonalproof · cited by 0