toContinuousAffineMap_toContinuousMap

English

The continuous map component of the continuous affine map of e equals the underlying continuous map of the homeomorphism part of e.

Русский

Компонента непрерывной карты непрерывной аффинной карты e равна базовой непрерывной карте домашоморфа e.

LaTeX

$$$e.toContinuousAffineMap.toContinuousMap = toContinuousMap\, e.toHomeomorph$$$

Lean4

theorem toContinuousAffineMap_toContinuousMap (e : P₁ ≃ᴬ[k] P₂) :
    e.toContinuousAffineMap.toContinuousMap = toContinuousMap e.toHomeomorph :=
  rfl

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