Theorems · Theorem · algebraic topology

FiberBundle.t2Space

∀ {B : Type u_2} (F : Type u_3) [inst : TopologicalSpace B] [inst_1 : TopologicalSpace F] (E : B → Type u_5)
  [inst_2 : TopologicalSpace (Bundle.TotalSpace F E)] [inst_3 : (b : B) → TopologicalSpace (E b)] [FiberBundle F E]
  [T2Space F] (b : B), T2Space (E b)

Defined in: Mathlib.Topology.FiberBundle.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace TopologicalSpace TopologicalSpace TopologicalSpace FiberBundle T2Space

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

TopologicalSpacestatement and proof · cited by 24,529
T2Spacestatement and proof · cited by 1,351
Bundle.TotalSpacestatement and proof · cited by 766
FiberBundlestatement and proof · cited by 471
Homeomorph.symmproof · cited by 365
FiberBundle.homeomorphAtproof · cited by 4
Homeomorph.t2Spaceproof · cited by 3

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