Theorems · Theorem · general topology
subset_mulTSupport
∀ {X : Type u_1} {α : Type u_2} [inst : One α] [inst_1 : TopologicalSpace X] (f : X → α),
Function.mulSupport f ⊆ mulTSupport f- Defined in
- Mathlib.Topology.Algebra.Support
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- OneTopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- subset_closureproof · cited by 309
- Function.mulSupportstatement · cited by 240
- mulTSupportstatement · cited by 41
Cited by6
Results whose statement or proof uses this declaration.
- HasCompactMulSupport.isCompact_rangeproof · cited by 3
- image_eq_one_of_notMem_mulTSupportproof · cited by 2
- range_subset_insert_image_mulTSupportproof · cited by 1
- LocallyFinite.exists_finset_nhds_mulSupport_subsetproof · cited by 0
- Continuous.stronglyMeasurable_of_hasCompactMulSupportproof · cited by 0
- HasCompactMulSupport.isCompact_preimageproof · cited by 0