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Theorems · Theorem · combinatorics

Multiset.cons_product

∀ {α : Type u_1} {β : Type v} (a : α) (s : Multiset α) (t : Multiset β),
  (a ::ₘ s) ×ˢ t = Multiset.map (Prod.mk a) t + s ×ˢ t
Defined in
Mathlib.Data.Multiset.Bind
Cited by
4 results in Mathlib
Foundations
Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Multiset.map_swap_product · cited by 2Multiset.map_swap_productMultiset.prod_map_product_eq_prod_prod · cited by 1Multiset.prod_map_product…Multiset.product_add · cited by 1Multiset.product_addMultiset.sum_smul_sum · cited by 0Multiset.sum_smul_sumMultiset · cited by 2627MultisetSProd.sprod · cited by 1750SProd.sprodMultiset.map · cited by 876Multiset.mapMultiset.cons · cited by 313Multiset.consMultiset.bind · cited by 59Multiset.bindMultiset.cons_bind · cited by 13Multiset.cons_bindMultiset.cons_productCITED BYCITES

Cites6

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Cited by4

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