tensorRightTensor_inv_app — Mathlib

English

The inverse of the right-associated triple tensor yields the hom of the associator: (tensorRightTensor X Y).inv.app Z = (associator Z X Y).hom.

Русский

Обратный у правой ассоциации тройного тензора даёт гомонию ассоциатора: (tensorRightTensor X Y).inv.app Z = (associator Z X Y).hom.

LaTeX

$$$ (tensorRightTensor X Y)^{-1}.app Z = (\\text{associator } Z X Y)^{\\mathrm{hom}}. $$$

Lean4

@[simp]
theorem tensorRightTensor_inv_app (X Y Z : C) : (tensorRightTensor X Y).inv.app Z = (associator Z X Y).hom := by
  simp [tensorRightTensor]

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