Theorems · Theorem · algebraic topology

FiberBundle.map_proj_nhds

∀ {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]
  (x : Bundle.TotalSpace F E), Filter.map Bundle.TotalSpace.proj (nhds x) = nhds x.proj

Defined in

Mathlib.Topology.FiberBundle.Basic

Cited by

2 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceTopologicalSpaceFiberBundle