Theorems · Theorem · general topology
Urysohns.CU.approx_nonneg
∀ {X : Type u_1} [inst : TopologicalSpace X] {P : Set X → Set X → Prop} (c : Urysohns.CU P) (n : ℕ) (x : X),
0 ≤ Urysohns.CU.approx n c x- Defined in
- Mathlib.Topology.UrysohnsLemma
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 159 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.
Cites16
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
- Compl.complproof · cited by 2,925
- mul_nonnegproof · cited by 397
- zero_le_oneproof · cited by 316
- add_nonnegproof · cited by 104
- inv_nonnegproof · cited by 56
- zero_le_twoproof · cited by 44
- Urysohns.CUstatement and proof · cited by 36
- Urysohns.CU.Uproof · cited by 18
- Urysohns.CU.leftproof · cited by 13
Cited by2
Results whose statement or proof uses this declaration.
- Urysohns.CU.lim_nonnegproof · cited by 1
- Urysohns.CU.approx_le_approx_of_U_sub_Cproof · cited by 1