English
Another articulation: mapIncl M' N' equals map M'.incl N'.incl, i.e., the canonical tensor inclusion.
Русский
Еще одно изложение: mapIncl M' N' = map M'.incl N'.incl, то есть каноническое включение тензора.
LaTeX
$$$$\mathrm{mapIncl}(M',N') = \mathrm{map}(M'.\mathrm{incl},N'.\mathrm{incl}).$$$$
Lean4
/-- A finite, free representation of a Lie algebra `L` induces a bilinear form on `L` called
the trace Form. See also `killingForm`. -/
noncomputable def traceForm : LinearMap.BilinForm R L :=
((LinearMap.mul _ _).compl₁₂ (φ).toLinearMap (φ).toLinearMap).compr₂ (trace R M)