Theorems · Theorem · combinatorics
Nat.multinomial_empty
∀ {α : Type u_1} (f : α → ℕ), Nat.multinomial ∅ f = 1- Defined in
- Mathlib.Data.Nat.Choose.Multinomial
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Nat.multinomialstatement · cited by 34
Cited by6
Results whose statement or proof uses this declaration.
- Nat.uniformBell_eqproof · cited by 5
- Nat.multinomial_singletonproof · cited by 2
- DividedPowerAlgebra.prod_dpproof · cited by 1
- Multiset.multinomial_nsmulproof · cited by 1
- Finset.sum_pow_eq_sum_piAntidiag_of_commuteproof · cited by 1
- DividedPowers.prod_dpowproof · cited by 0