Theorems · Theorem · ring theory
Finsupp.sum_zero_index
∀ {α : Type u_1} {M : Type u_8} {N : Type u_10} [inst : Zero M] [inst_1 : AddCommMonoid N] {h : α → M → N},
Finsupp.sum 0 h = 0- Cited by
- 7 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.
Cites3
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 · cited by 5,255
- Finsupp.sumstatement · cited by 481
Cited by7
Results whose statement or proof uses this declaration.
- Finsupp.mapDomain_zeroproof · cited by 15
- MvPolynomial.totalDegree_Cproof · cited by 7
- Submodule.mem_ideal_smul_span_iff_exists_sumproof · cited by 3
- MvPolynomial.eval₂_zeroproof · cited by 3
- Finsupp.single_le_sumproof · cited by 1
- LinearIndependent.sumElim_of_quotientproof · cited by 1
- Finsupp.sum_toMultisetproof · cited by 0