Theorems · Theorem · general topology
Urysohns.CU.bddAbove_range_approx
∀ {X : Type u_1} [inst : TopologicalSpace X] {P : Set X → Set X → Prop} (c : Urysohns.CU P) (x : X),
BddAbove (Set.range fun n => Urysohns.CU.approx n c x)- Defined in
- Mathlib.Topology.UrysohnsLemma
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Set.rangestatement and proof · cited by 4,705
- BddAbovestatement · cited by 620
- Urysohns.CUstatement and proof · cited by 36
- Urysohns.CU.approxstatement and proof · cited by 12
- Urysohns.CU.approx_le_oneproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Urysohns.CU.approx_le_limproof · cited by 1