instIsTriangulatedClosed₃OfIsTriangulated

English

There is an instance ensuring that if P is triangulated, the isoClosure construction yields P.IsTriangulatedClosed₂.

Русский

Существует экстенсионная инстанция: если P треангулирована, то isoClosure даёт P.IsTriangulatedClosed₂.

LaTeX

$$$\\text{instIsTriangulatedClosed₂IsoClosure} : P.IsTriangulatedClosed₂$$$

Lean4

instance [P.IsTriangulated] : P.IsTriangulatedClosed₃ where
  ext₃' _ hT h₁ h₂ := P.ext_of_isTriangulatedClosed₂' _ (rot_of_distTriang _ hT) h₂ (P.le_shift _ _ h₁)

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