hasIntScalar — Mathlib

English

There is an integer-scalar action on LeftInvariantDerivation(I,G).

Русский

Существует действие целых чисел на LeftInvariantDerivation(I,G).

LaTeX

$$$ \forall m \in \mathbb{Z},\; m \cdot \mathrm{LeftInvariantDerivation}(I,G) \subseteq \mathrm{LeftInvariantDerivation}(I,G). $$$

Lean4

instance hasIntScalar : SMul ℤ (LeftInvariantDerivation I G) where
  smul r X := ⟨r • X.1, fun g => by simp_rw [LinearMap.map_smul_of_tower _ r, left_invariant']⟩

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