Theorems · Theorem · group theory
Multiset.mulSupport_fun_pow_count_subset
∀ {α : Type u_1} {M : Type u_2} [inst : DecidableEq α] [inst_1 : CommMonoid M] (s : Multiset α) (f : α → M),
(Function.mulSupport fun a => f a ^ Multiset.count a s) ⊆ ↑s.toFinset- Defined in
- Mathlib.Algebra.BigOperators.Finprod
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Finsetstatement · cited by 13,712
- SetLike.coestatement · cited by 8,199
- Multisetstatement and proof · cited by 2,627
- CommMonoidstatement and proof · cited by 2,264
- pow_zeroproof · cited by 1,094
- Multiset.countstatement and proof · cited by 302
- Function.mulSupportstatement · cited by 240
- Multiset.toFinsetstatement · cited by 230
- Multiset.count_eq_zero_of_notMemproof · cited by 27
Cited by2
Results whose statement or proof uses this declaration.
- Multiset.prod_map_eq_finprodproof · cited by 1
- Multiset.hasFiniteMulSupport_fun_pow_countproof · cited by 0