Theorems · Theorem · algebraic topology

VectorBundleCore.coordChange_self

∀ {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} (self : VectorBundleCore R B F ι) (i : ι),
  ∀ x ∈ self.baseSet i, ∀ (v : F), (self.coordChange i i x) v = v

Defined in

Mathlib.Topology.VectorBundle.Basic

Cited by

4 results in Mathlib

Foundations

Depth 47 from the axioms · uses propext, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpace