Theorems · Theorem · group theory
Multiset.sum_add
∀ {M : Type u_5} [inst : AddCommMonoid M] (s t : Multiset M), (s + t).sum = s.sum + t.sum- Cited by
- 10 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommMonoid
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
- Multisetstatement and proof · cited by 2,627
- Multiset.sumstatement · cited by 388
Cited by11
Results whose statement or proof uses this declaration.
- Equiv.Perm.sum_cycleTypeproof · cited by 14
- Multiset.sumAddMonoidHomproof · cited by 2
- Multiset.sum_joinproof · cited by 1
- Multiset.join_addproof · cited by 1
- Multiset.multinomial_addproof · cited by 1
- Multiset.multinomial_nsmulproof · cited by 1
- Multiset.prod_map_addproof · cited by 1
- Multiset.sum_smul_sumproof · cited by 0
- Finsupp.sum_toMultisetproof · cited by 0
- TensorProduct.exists_multisetproof · cited by 0
- Multiset.sum_filter_add_sum_filter_notproof · cited by 0