Theorems · Theorem · combinatorics
Multiset.multinomial_add
∀ (m m' : Multiset ℕ), (m + m').multinomial = (m + m').sum.choose m.sum * m.multinomial * m'.multinomial
- Defined in
- Mathlib.Data.Nat.Choose.Multinomial
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Multisetstatement and proof · cited by 2,627
- Nat.choosestatement and proof · cited by 494
- Multiset.sumstatement and proof · cited by 388
- Multiset.induction_onproof · cited by 109
- Nat.choose_zero_rightproof · cited by 55
- Multiset.sum_consproof · cited by 45
- add_tsub_cancel_leftproof · cited by 42
- Nat.choose_symmproof · cited by 15
- Multiset.zero_addproof · cited by 15
- Multiset.cons_addproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- Multiset.multinomial_nsmulproof · cited by 1