Theorems · Theorem · general topology
completelyRegularSpace_iInf
∀ {ι : Type u_1} {X : Type u_2} {t : ι → TopologicalSpace X},
(∀ (i : ι), CompletelyRegularSpace X) → CompletelyRegularSpace X- Cited by
- 1 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Finsetproof · cited by 13,712
- Top.topproof · cited by 9,680
- Set.Elemproof · cited by 7,166
- nhdsproof · cited by 5,554
- Bot.botproof · cited by 4,720
- Compl.complproof · cited by 2,925
- Continuousproof · cited by 2,592
- IsOpenproof · cited by 2,400
- iInfstatement and proof · cited by 1,690
- Set.iInterproof · cited by 1,084
Cited by1
Results whose statement or proof uses this declaration.
- completelyRegularSpace_infproof · cited by 0