toContinuousAffineEquiv — Mathlib

English

Coercion of trans equals the composition of coercions.

Русский

Коэрцирование пересечения равно композиции коэрцированных отображений.

LaTeX

$$$ (e : P_1 \to P_2).trans (e' : P_2 \to P_3) : \text{ContinuousAffineEquiv}$$$

Lean4

/-- Reinterpret a continuous linear equivalence between modules
as a continuous affine equivalence. -/
def _root_.ContinuousLinearEquiv.toContinuousAffineEquiv (L : E ≃L[k] F) : E ≃ᴬ[k] F
    where
  toAffineEquiv := L.toAffineEquiv
  continuous_toFun := L.continuous_toFun
  continuous_invFun := L.continuous_invFun

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