Theorems · Theorem · algebraic topology

VectorBundleCore.coordChange_linear_comp

∀ {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 j k : ι),
  ∀ x ∈ Z.baseSet i ∩ Z.baseSet j ∩ Z.baseSet k, Z.coordChange j k x ∘SL Z.coordChange i j x = Z.coordChange i k x

Defined in

Mathlib.Topology.VectorBundle.Basic

Cited by

0 results in Mathlib

Foundations

Depth 48 from the axioms · uses propext, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpace