English
The memTrivializationAtlas predicate confirms membership for the product continuousLinearMap in the atlas.
Русский
Утверждение memTrivializationAtlas проверяет принадлежность Prod ContinuousLinearMap к атласу.
LaTeX
$$$ \\text{memTrivializationAtlas }(e_1.continuousLinearMap σ e_2) $$$
Lean4
/-- The continuous `σ`-semilinear maps between two vector bundles form a vector bundle. -/
instance vectorBundle : VectorBundle 𝕜₂ (F₁ →SL[σ] F₂) (fun x ↦ E₁ x →SL[σ] E₂ x) :=
(Bundle.ContinuousLinearMap.vectorPrebundle σ F₁ E₁ F₂ E₂).toVectorBundle