h_mem_cartanSubalgebra' — Mathlib

English

CartanSubalgebra' is the image of cartanSubalgebra under the comap/inclusion map from lieAlgebra(b) to the ambient matrix Lie algebra; it is a distinguished Cartan subalgebra of lieAlgebra(b).

Русский

CartanSubalgebra' есть образ CartanSubalgebra под действием отображения comap, и является выделенной Картановой подалгеброй lieAlgebra(b).

LaTeX

$$$\text{cartanSubalgebra}'(b) = \operatorname{LieSubalgebra}.comap(\text{lieAlgebra}(b).incl, \text{cartanSubalgebra}(b))$$$

Lean4

@[simp]
theorem h_mem_cartanSubalgebra' [Fintype ι] [DecidableEq ι] (i : b.support) (hi) : ⟨h i, hi⟩ ∈ cartanSubalgebra' b := by
  simp [cartanSubalgebra']

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