instLinearMapClass — Mathlib

English

If two weights χ and χ1 are equal, then their associated linear realizations coincide.

Русский

Если веса χ и χ1 равны, то их линейные реализации совпадают.

LaTeX

$$$\\chi = χ_1 \\Rightarrow \\mathrm{toLinear}(χ) = \\mathrm{toLinear}(χ_1).$$$

Lean4

instance instLinearMapClass : LinearMapClass (Weight R L M) R L R
    where
  map_add χ := LinearWeights.map_add χ χ.genWeightSpace_ne_bot
  map_smulₛₗ χ := LinearWeights.map_smul χ χ.genWeightSpace_ne_bot

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