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Theorems · Theorem · group theory

Multiset.sum_pair

∀ {M : Type u_3} [inst : AddCommMonoid M] (a b : M), {a, b}.sum = a + b
Defined in
Mathlib.Algebra.BigOperators.Group.Multiset.Defs
Cited by
2 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Quot.sound
Assumes
AddCommMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IsAddFreimanIso.add_eq_add · cited by 3IsAddFreimanIso.add_eq_addIsAddFreimanHom.add_eq_add · cited by 3IsAddFreimanHom.add_eq_addAddCommMonoid · cited by 12281AddCommMonoidMultiset · cited by 2627MultisetMultiset.sum · cited by 388Multiset.sumMultiset.sum_cons · cited by 45Multiset.sum_consMultiset.sum_singleton · cited by 26Multiset.sum_singletonMultiset.insert_eq_cons · cited by 4Multiset.insert_eq_consMultiset.sum_pairCITED BYCITES

Cites6

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Cited by2

Results whose statement or proof uses this declaration.