Theorems · Theorem · general topology
range_subset_insert_image_tsupport
∀ {X : Type u_1} {α : Type u_2} [inst : Zero α] [inst_1 : TopologicalSpace X] (f : X → α),
Set.range f ⊆ insert 0 (f '' tsupport f)- Defined in
- Mathlib.Topology.Algebra.Support
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 63 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.
Cites11
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
- Set.imagestatement · cited by 5,609
- Set.rangestatement and proof · cited by 4,705
- le_reflproof · cited by 2,061
- le_imp_le_of_le_of_leproof · cited by 576
- Set.image_monoproof · cited by 197
- tsupportstatement · cited by 178
- subset_tsupportproof · cited by 21
- Set.insert_subset_insertproof · cited by 18
- Function.range_subset_insert_image_supportproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- range_eq_image_tsupport_orproof · cited by 0