contractLeft_algebraMap — Mathlib

English

The contraction of an algebra map by d is zero: d ⌋ algebraMap r = 0.

Русский

Свёртывание отображения алгебраMap слева по d даёт ноль: d ⌋ algebraMap r = 0.

LaTeX

$$$ d\\lbrack algebraMap R (CliffordAlgebra Q) r = 0 $$$

Lean4

@[simp]
theorem contractLeft_algebraMap (r : R) : d⌋algebraMap R (CliffordAlgebra Q) r = 0 := by
  -- Porting note: Lean cannot figure out anymore the third argument

  refine (foldr'_algebraMap _ _ ?_ _ _).trans <| smul_zero _
  exact fun m x fx ↦ contractLeftAux_contractLeftAux Q d m x fx

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