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Theorems · Theorem

Function.HasFiniteSupport.nsmul

∀ {α : Type u_1} {M : Type u_3} [inst : AddMonoid M] {f : α → M},
  Function.HasFiniteSupport f → ∀ (n : ℕ), Function.HasFiniteSupport (n • f)
Defined in
Mathlib.Algebra.FiniteSupport.Basic
Cited by
1 results in Mathlib
Foundations
Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Function.HasFiniteSupport.fun_nsmul · cited by 0HasFiniteSupport.fun_nsmulAddMonoid · cited by 2864AddMonoidFunction.HasFiniteSupport · cited by 113Function.HasFiniteSupportnsmul_zero · cited by 73nsmul_zeroFunction.HasFiniteSupport.comp · cited by 5HasFiniteSupport.compHasFiniteSupport.nsmulCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.