Theorems · Theorem · ring theory
Finsupp.sum_add
∀ {α : Type u_1} {M : Type u_8} {N : Type u_10} [inst : Zero M] [inst_1 : AddCommMonoid N] {f : α →₀ M}
{h₁ h₂ : α → M → N}, (f.sum fun a b => h₁ a b + h₂ a b) = f.sum h₁ + f.sum h₂- Cited by
- 18 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ZeroAddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Finset.sum_add_distribproof · cited by 131
Cited by18
Results whose statement or proof uses this declaration.
- Matrix.PosSemidef.submatrixproof · cited by 3
- Convexity.IsAffineMap.addproof · cited by 2
- Matrix.PosDef.add_posSemidefproof · cited by 2
- Matrix.PosDef.submatrixproof · cited by 1
- groupHomology.mem_cycles₂_iffproof · cited by 1
- SkewMonoidAlgebra.sum_addproof · cited by 1
- groupHomology.H1CoresCoinfOfTrivial_exactproof · cited by 1
- groupHomology.single_isCycle₂_iffproof · cited by 0
- groupHomology.single_isCycle₂_iff_invproof · cited by 0
- RKHS.posSemidef_tfaeproof · cited by 0
- groupHomology.single_mem_cycles₂_iffproof · cited by 0