Theorems · Theorem · algebraic topology

Bundle.Trivialization.domExtend_baseSet

∀ {B : Type u_1} {F : Type u_2} {Z : Type u_4} [inst : TopologicalSpace B] [inst_1 : TopologicalSpace F] {proj : Z → B}
  [inst_2 : TopologicalSpace Z] {s : Set B} (hps : IsOpen (proj ⁻¹' s)) (e : Bundle.Trivialization F fun z => proj ↑z)
  [inst_3 : Nonempty (Z → F)], (Bundle.Trivialization.domExtend hps e).baseSet = e.toPretrivialization.baseSet

Defined in

Mathlib.Topology.FiberBundle.Trivialization

Cited by

0 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceNonempty