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Theorems · Theorem · combinatorics

Multiset.fold_singleton

∀ {α : Type u_1} (op : α → α → α) [hc : Std.Commutative op] [ha : Std.Associative op] (b a : α),
  Multiset.fold op b {a} = op a b
Defined in
Mathlib.Data.Multiset.Fold
Cited by
2 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Quot.sound
Assumes
Std.CommutativeStd.Associative
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Around this declaration

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

Multiset.lcm_singleton · cited by 5Multiset.lcm_singletonMultiset.gcd_singleton · cited by 2Multiset.gcd_singletonMultiset · cited by 2627MultisetMultiset.fold · cited by 38Multiset.foldMultiset.foldr_singleton · cited by 1Multiset.foldr_singletonMultiset.fold_singletonCITED BYCITES

Cites3

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Cited by2

Results whose statement or proof uses this declaration.