mdifferentiable — Mathlib

English

A similar smul differentiability result holds for the symmetric model (containing only 𝓘(𝕜) and V).

Русский

Аналогичен вывод дифференцируемости smul в симметрической конфигурации модели.

LaTeX

$$$MDifferentiable I (modelWithCornersSelf 𝕜 𝕜) f x \\Rightarrow MDifferentiable I (modelWithCornersSelf 𝕜 V) g x \\Rightarrow MDifferentiable I (modelWithCornersSelf 𝕜 V) (f \\cdot g) x$$$

Lean4

protected theorem mdifferentiable : MDifferentiable 𝓘(𝕜, E) 𝓘(𝕜, E') f :=
  f.differentiable.mdifferentiable

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