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Theorems · Theorem · combinatorics

Multiset.fold_zero

∀ {α : Type u_1} (op : α → α → α) [hc : Std.Commutative op] [ha : Std.Associative op] (b : α), Multiset.fold op b 0 = b
Defined in
Mathlib.Data.Multiset.Fold
Cited by
6 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext
Assumes
Std.CommutativeStd.Associative
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Around this declaration

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

Multiset.fold_add · cited by 9Multiset.fold_addMultiset.gcd_zero · cited by 6Multiset.gcd_zeroMultiset.lcm_zero · cited by 5Multiset.lcm_zeroMultiset.inf_zero · cited by 4Multiset.inf_zeroMultiset.sup_zero · cited by 2Multiset.sup_zeroMultiset.fold_bind · cited by 1Multiset.fold_bindMultiset · cited by 2627MultisetMultiset.fold · cited by 38Multiset.foldMultiset.fold_zeroCITED BYCITES

Cites2

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Cited by6

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