symm — Mathlib

English

For any s and x, the function e is continuously within the set s at x.

Русский

Для любого множества s и точки x функция e непрерывна в пределах s в точке x.

LaTeX

$$$\text{ContinuousWithinAt}(e, s, x)$$$

Lean4

/-- The inverse of a continuous linear equivalence as a continuous linear equivalence -/
@[symm]
protected def symm (e : M₁ ≃SL[σ₁₂] M₂) : M₂ ≃SL[σ₂₁] M₁ :=
  { e.toLinearEquiv.symm with
    continuous_toFun := e.continuous_invFun
    continuous_invFun := e.continuous_toFun }

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