Theorems · Theorem · algebraic topology

VectorBundleCore.mem_localTriv_source

∀ {R : Type u_1} {B : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField R] [inst_1 : NormedAddCommGroup F]
  [inst_2 : NormedSpace R F] [inst_3 : TopologicalSpace B] {ι : Type u_5} (Z : VectorBundleCore R B F ι) (i : ι)
  (p : Z.TotalSpace), p ∈ (Z.localTriv i).source ↔ p.proj ∈ Z.baseSet i

Defined in

Mathlib.Topology.VectorBundle.Basic

Cited by

1 results in Mathlib

Foundations

Depth 186 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpace