Theorems · Theorem · general topology
range_eq_image_tsupport_or
∀ {X : Type u_1} {α : Type u_2} [inst : Zero α] [inst_1 : TopologicalSpace X] (f : X → α),
Set.range f = f '' tsupport f ∨ Set.range f = insert 0 (f '' tsupport f)- Defined in
- Mathlib.Topology.Algebra.Support
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ZeroTopologicalSpace
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Cites9
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 and proof · cited by 5,609
- Set.rangestatement · cited by 4,705
- tsupportstatement and proof · cited by 178
- Set.image_subset_rangeproof · cited by 76
- WCovBy.eq_or_eqproof · cited by 5
- Set.wcovBy_insertproof · cited by 4
- range_subset_insert_image_tsupportproof · cited by 1
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