toWeakDual — Mathlib

English

The canonical map from StrongDual to WeakDual is the identity on the underlying set.

Русский

Каноническое отображение из StrongDual в WeakDual является тождественным на множествах.

LaTeX

$$$\\text{toWeakDual} = \\text{refl}$$$

Lean4

/-- For vector spaces `M`, there is a canonical map `StrongDual R M → WeakDual R M` (the "identity"
mapping). It is a linear equivalence. -/
def toWeakDual : StrongDual R M ≃ₗ[R] WeakDual R M :=
  LinearEquiv.refl R (StrongDual R M)

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