instFunLike — Mathlib

English

E →WOT 𝕜 F forms a ContinuousLinearMapClass with dimension 𝕜, ensuring map_add, map_smul, and continuity compatibility.

Русский

E →WOT 𝕜 F образует класс ContinuousLinearMapClass с полем 𝕜, обеспечивая свойства map_add, map_smul и совместимость с непрерывностью.

LaTeX

$$$\\text{ContinuousLinearMapClass}(E \\toWOT[𝕜] F, 𝕜, E, F)$$$

Lean4

instance instFunLike : FunLike (E →WOT[𝕜] F) E F
    where
  coe f := ((ContinuousLinearMap.toWOT 𝕜 E F).symm f : E → F)
  coe_injective' := by intro; simp

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