Theorems · Theorem · general topology
Urysohns.CU.approx_le_one
∀ {X : Type u_1} [inst : TopologicalSpace X] {P : Set X → Set X → Prop} (c : Urysohns.CU P) (n : ℕ) (x : X),
Urysohns.CU.approx n c x ≤ 1- Defined in
- Mathlib.Topology.UrysohnsLemma
- Cited by
- 4 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.
Cites18
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
- Nat.cast_oneproof · cited by 2,501
- le_rflproof · cited by 1,558
- add_le_addproof · cited by 666
- zero_le_oneproof · cited by 316
- zero_lt_twoproof · cited by 124
- invOf_eq_invproof · cited by 42
- Urysohns.CUstatement and proof · cited by 36
- div_le_oneproof · cited by 29
Cited by4
Results whose statement or proof uses this declaration.
- Urysohns.CU.tendsto_approx_atTopproof · cited by 1
- Urysohns.CU.lim_le_oneproof · cited by 1
- Urysohns.CU.approx_le_approx_of_U_sub_Cproof · cited by 1
- Urysohns.CU.bddAbove_range_approxproof · cited by 1