Theorems · Theorem · ring theory
map_finsuppSum
∀ {α : Type u_1} {M : Type u_8} {N : Type u_10} {P : Type u_11} [inst : Zero M] [inst_1 : AddCommMonoid N]
[inst_2 : AddCommMonoid P] {H : Type u_16} [inst_3 : FunLike H N P] [AddMonoidHomClass H N P] (h : H) (f : α →₀ M)
(g : α → M → N), h (f.sum g) = f.sum fun a b => h (g a b)- Cited by
- 43 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- Finsuppstatement and proof · cited by 5,255
- FunLikestatement and proof · cited by 2,560
- Finsupp.supportproof · cited by 828
- Finsupp.sumstatement · cited by 481
- map_sumproof · cited by 455
- AddMonoidHomClassstatement and proof · cited by 252
Cited by43
Results whose statement or proof uses this declaration.
- Module.Basis.repr_symm_applyproof · cited by 37
- Module.projective_lifting_propertyproof · cited by 13
- Module.Projective.of_equivproof · cited by 9
- MonoidAlgebra.coeff_finsuppSumproof · cited by 7
- Algebra.FormallyUnramified.finite_of_freeproof · cited by 7
- AddMonoidAlgebra.coeff_finsuppSumproof · cited by 6
- IsBaseChange.basis_repr_comp_applyproof · cited by 3
- Module.Basis.SmithNormalForm.repr_apply_embedding_eq_repr_smulproof · cited by 3
- Module.DualBases.dual_lcproof · cited by 3
- Module.Basis.SmithNormalForm.repr_eq_zero_of_notMem_rangeproof · cited by 2
- Finsupp.mapDomain_sumproof · cited by 2
- Algebra.Generators.ofComp_kerCompPreimageproof · cited by 2