Theorems · Theorem · algebraic topology

Bundle.Pretrivialization.mk_symm

∀ {B : Type u_1} {F : Type u_2} {E : B → Type u_3} [inst : TopologicalSpace B] [inst_1 : TopologicalSpace F]
  [inst_2 : ∀ (x : B), Nonempty (E x)] (e : Bundle.Pretrivialization F Bundle.TotalSpace.proj) {b : B},
  b ∈ e.baseSet → ∀ (y : F), ⟨b, e.symm b y⟩ = ↑e.symm (b, y)

Defined in

Mathlib.Topology.FiberBundle.Trivialization

Cited by

4 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceNonempty