Theorems · Theorem · general topology
Urysohns.CU.approx_le_approx_of_U_sub_C
∀ {X : Type u_1} [inst : TopologicalSpace X] {P : Set X → Set X → Prop} {c₁ c₂ : Urysohns.CU P},
c₁.U ⊆ c₂.C → ∀ (n₁ n₂ : ℕ) (x : X), Urysohns.CU.approx n₂ c₂ x ≤ Urysohns.CU.approx n₁ c₁ 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.
Cites11
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 · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Urysohns.CUstatement and proof · cited by 36
- Urysohns.CU.Ustatement and proof · cited by 18
- Urysohns.CU.approxstatement · cited by 12
- Urysohns.CU.Cstatement and proof · cited by 11
- Urysohns.CU.approx_le_oneproof · cited by 4
- Urysohns.CU.approx_nonnegproof · cited by 2
- Urysohns.CU.approx_of_mem_Cproof · cited by 2
- Urysohns.CU.approx_of_notMem_Uproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Urysohns.CU.approx_mem_Icc_right_leftproof · cited by 1