Theorems · Theorem · general topology
isClosed_tsupport
∀ {X : Type u_1} {α : Type u_2} [inst : Zero α] [inst_1 : TopologicalSpace X] (f : X → α), IsClosed (tsupport f)- Defined in
- Mathlib.Topology.Algebra.Support
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ZeroTopologicalSpace
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
- IsClosedstatement · cited by 1,639
- isClosed_closureproof · cited by 195
- tsupportstatement · cited by 178
Cited by17
Results whose statement or proof uses this declaration.
- Continuous.integrable_of_hasCompactSupportproof · cited by 18
- rieszContentAux_image_nonemptyproof · cited by 3
- HasCompactSupport.intro'proof · cited by 3
- HasCompactSupport.of_compactSpaceproof · cited by 3
- HasCompactSupport.convolutionExistsAtproof · cited by 2
- compactlySupported_eq_top_of_isCompactproof · cited by 2
- MeasureTheory.hasFDerivAt_convolution_right_with_paramproof · cited by 1
- LocallyFinite.exists_finset_nhds_support_subsetproof · cited by 1