Theorems · Theorem · combinatorics
Multiset.product_add
∀ {α : Type u_1} {β : Type v} (s : Multiset α) (t u : Multiset β), s ×ˢ (t + u) = s ×ˢ t + s ×ˢ u- Defined in
- Mathlib.Data.Multiset.Bind
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetstatement and proof · cited by 2,627
- SProd.sprodstatement and proof · cited by 1,750
- Multiset.mapproof · cited by 876
- add_assocproof · cited by 746
- Multiset.consproof · cited by 313
- Multiset.induction_onproof · cited by 109
- add_left_commproof · cited by 76
- Multiset.map_addproof · cited by 26
- Multiset.cons_productproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Finset.product_disjUnionproof · cited by 0