Theorems · Theorem · algebraic topology

FiberBundle.extend_apply_self

∀ {B : Type u_2} (F : Type u_3) {E : B → Type u_5} [inst : TopologicalSpace B] [inst_1 : TopologicalSpace F]
  [inst_2 : (x : B) → TopologicalSpace (E x)] [inst_3 : (x : B) → Zero (E x)]
  [inst_4 : TopologicalSpace (Bundle.TotalSpace F E)] [inst_5 : FiberBundle F E] {x : B} (v : E x),
  FiberBundle.extend F v x = v

Defined in

Mathlib.Topology.FiberBundle.Basic

Cited by

6 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceZeroTopologicalSpaceFiberBundle