Theorems · Theorem · algebraic topology

FiberBundle.mem_baseSet_trivializationAt

∀ {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)]
  [inst_4 : FiberBundle F E] (b : B), b ∈ (trivializationAt F E b).baseSet

Defined in

Mathlib.Topology.FiberBundle.Basic

Cited by

20 results in Mathlib

Foundations

Depth 5 from the axioms · uses no axioms

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceTopologicalSpaceFiberBundle