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Theorems · Theorem · general topology

Urysohns.CU.lim_nonneg

∀ {X : Type u_1} [inst : TopologicalSpace X] {P : Set X → Set X → Prop} (c : Urysohns.CU P) (x : X), 0 ≤ c.lim x
Defined in
Mathlib.Topology.UrysohnsLemma
Cited by
1 results in Mathlib
Foundations
Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Urysohns.CU.lim_mem_Icc · cited by 4CU.lim_mem_IccSet · cited by 53352SetReal · cited by 25697RealTopologicalSpace · cited by 24529TopologicalSpaceLE.le.trans · cited by 3151le.transUrysohns.CU · cited by 36Urysohns.CUUrysohns.CU.lim · cited by 13CU.limUrysohns.CU.approx_nonneg · cited by 2CU.approx_nonnegUrysohns.CU.approx_le_lim · cited by 1CU.approx_le_limCU.lim_nonnegCITED BYCITES

Cites8

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Cited by1

Results whose statement or proof uses this declaration.