Theorems · Theorem · general topology
HasCompactSupport.comp_left
∀ {α : Type u_2} {β : Type u_4} {γ : Type u_5} [inst : TopologicalSpace α] [inst_1 : Zero β] [inst_2 : Zero γ]
{g : β → γ} {f : α → β}, HasCompactSupport f → g 0 = 0 → HasCompactSupport (g ∘ f)- Defined in
- Mathlib.Topology.Algebra.Support
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceZeroZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- HasCompactSupportstatement and proof · cited by 196
- Function.support_comp_subsetproof · cited by 8
- HasCompactSupport.monoproof · cited by 4
Cited by11
Results whose statement or proof uses this declaration.
- IsOpen.exists_contDiff_support_eqproof · cited by 2
- HasCompactSupport.enorm_le_lintegral_Ici_derivproof · cited by 1
- MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eqproof · cited by 1
- HasCompactSupport.rpow_constproof · cited by 1
- LipschitzWith.ae_lineDeriv_sum_eqproof · cited by 1
- NNRealRMK.lintegral_rieszMeasureproof · cited by 0
- MeasureTheory.Lp.ker_toTemperedDistributionCLM_eq_botproof · cited by 0
- HasCompactSupport.absproof · cited by 0
- Distribution.TemperedDistribution.dsupport_deltaproof · cited by 0