Theorems · Theorem · algebraic topology

FiberPrebundle.continuous_symm_of_mem_pretrivializationAtlas

∀ {B : Type u_2} {F : Type u_3} {E : B → Type u_5} [inst : TopologicalSpace B] [inst_1 : TopologicalSpace F]
  [inst_2 : (x : B) → TopologicalSpace (E x)] (a : FiberPrebundle F E)
  {e : Bundle.Pretrivialization F Bundle.TotalSpace.proj},
  e ∈ a.pretrivializationAtlas → ContinuousOn (↑e.symm) e.target

Defined in

Mathlib.Topology.FiberBundle.Basic

Cited by

1 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpace