tangentBundle_model_space_coe_chartAt

English

The coe-chart on model space is equal to the product model's co-chart.

Русский

Ко-чарт модельного пространства равен ко-chart произведения модели.

LaTeX

$$$(chartAt (ModelProd H E) p).toPartialEquiv = (TotalSpace.toProd H E).toPartialEquiv$$$

Lean4

@[simp, mfld_simps]
theorem tangentBundle_model_space_coe_chartAt (p : TangentBundle I H) :
    ⇑(chartAt (ModelProd H E) p) = TotalSpace.toProd H E := by
  rw [← OpenPartialHomeomorph.coe_coe, tangentBundle_model_space_chartAt]; rfl

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