Theorems · Theorem
Function.HasFiniteSupport.hasFiniteMulSupport_fun_pow
∀ {α : Type u_1} {M : Type u_4} [inst : Monoid M] (f : α → M) {g : α → ℕ},
Function.HasFiniteSupport g → Function.HasFiniteMulSupport fun a => f a ^ g a- Defined in
- Mathlib.Algebra.FiniteSupport.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- pow_zeroproof · cited by 1,094
- Function.supportproof · cited by 610
- Set.Finite.subsetproof · cited by 285
- Function.mulSupportproof · cited by 240
- Function.HasFiniteSupportstatement and proof · cited by 113
- Function.HasFiniteMulSupportstatement · cited by 99
Cited by1
Results whose statement or proof uses this declaration.
- UniqueFactorizationMonoid.hasFiniteMulSupport_fun_pow_multiplicityproof · cited by 1