liftLinear_singleLinearMap — Mathlib

English

Induction principle on finite matrices: same structure as 100299 but framed with standardized form.

Русский

Принцип индукции на конечные матрицы: аналогично 100299, но оформлен в стандартной форме.

LaTeX

$$Same as 100299 with explicit matrix form: $P(0) \to P(p+q)$ etc.$$

Lean4

@[simp]
theorem liftLinear_singleLinearMap [Module S α] [SMulCommClass R S α] :
    liftLinear S (Matrix.singleLinearMap R) = .id (M := Matrix m n α) :=
  ext_linearMap _ <| liftLinear_comp_singleLinearMap _ _

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