Theorems · Theorem · algebraic topology

FiberBundle.mem_trivializationAt_proj_source

∀ {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] {x : Bundle.TotalSpace F E}, x ∈ (trivializationAt F E x.proj).source

Defined in

Mathlib.Topology.FiberBundle.Basic

Cited by

5 results in Mathlib

Foundations

Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceTopologicalSpaceFiberBundle