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Theorems · Theorem

Function.HasFiniteSupport.comp

∀ {α : Type u_1} {M : Type u_2} [inst : Zero M] {N : Type u_3} [inst_1 : Zero N] {g : M → N} {f : α → M},
  Function.HasFiniteSupport f → g 0 = 0 → Function.HasFiniteSupport (g ∘ f)
Defined in
Mathlib.Algebra.FiniteSupport.Basic
Cited by
5 results in Mathlib
Foundations
Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
ZeroZero
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Function.HasFiniteSupport.zsmul · cited by 1HasFiniteSupport.zsmulFunction.HasFiniteSupport.neg · cited by 1HasFiniteSupport.negFunction.HasFiniteSupport.nsmul · cited by 1HasFiniteSupport.nsmulFunction.HasFiniteSupport.snd · cited by 0HasFiniteSupport.sndFunction.HasFiniteSupport.fst · cited by 0HasFiniteSupport.fstSet.Finite.subset · cited by 285Finite.subsetFunction.HasFiniteSupport · cited by 113Function.HasFiniteSupportFunction.support_comp_subset · cited by 8Function.support_comp_sub…HasFiniteSupport.compCITED BYCITES

Cites3

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

Cited by5

Results whose statement or proof uses this declaration.