coeFnAddMonoidHom — Mathlib

English

LeftInvariantDerivation(I,G) carries a scalar action by 𝕜, making it a module over 𝕜.

Русский

LeftInvariantDerivation образует модуль над полем 𝕜.

LaTeX

$$$ \mathrm{LeftInvariantDerivation}(I,G) \text{ is a } \mathbb{K}\text{-module}. $$$

Lean4

/-- The coercion to function is a monoid homomorphism. -/
@[simps]
def coeFnAddMonoidHom : LeftInvariantDerivation I G →+ C^∞⟮I, G; 𝕜⟯ → C^∞⟮I, G; 𝕜⟯ :=
  ⟨⟨DFunLike.coe, coe_zero⟩, coe_add⟩

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