Theorems · Theorem · general topology
Urysohns.CU.approx_mem_Icc_right_left
∀ {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 ∈ Set.Icc (Urysohns.CU.approx n c.right x) (Urysohns.CU.approx n c.left x)- Defined in
- Mathlib.Topology.UrysohnsLemma
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 161 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.
Cites23
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_reflproof · cited by 2,061
- Set.Iccstatement and proof · cited by 1,702
- le_rflproof · cited by 1,558
- le_of_ltproof · cited by 1,175
- Set.indicatorproof · cited by 723
- le_imp_le_of_le_of_leproof · cited by 576
- subset_closureproof · cited by 309
Cited by1
Results whose statement or proof uses this declaration.
- Urysohns.CU.approx_le_succproof · cited by 1