contractRight_ι — Mathlib

English

Similarly, contraction on the right with ι_Q x yields the scalar d x: ι_Q x ⌊ d = algebraMap R (Clifford(Q)) (d x).

Русский

Аналогично: правое свёртывание с ι_Q x даёт скаляры: ι_Q x ⌊ d = algebraMap(d x).

LaTeX

$$$ ι_Q(x)\\lbrack d = algebraMap R (Clifford(Q)) (d(x)) $$$

Lean4

@[simp]
theorem contractRight_ι (x : M) : ι Q x⌊d = algebraMap R _ (d x) := by
  rw [contractRight_eq, reverse_ι, contractLeft_ι, reverse.commutes]

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