isStrictSegal — Mathlib

English

The truncation functor preserves the StrictSegal structure; the induced truncated object inherits a StrictSegal structure.

Русский

Округляющая функтор сохраняет структуру StrictSegal; полученный усечённый объект inherits StrictSegal.

LaTeX

$$truncation n X.StrictSegal → (truncation n+1).obj X.StrictSegal$$

Lean4

/-- The unique existence of an inverse to `spine X n` forall `n : ℕ` implies
the mere existence of such an inverse. -/
theorem isStrictSegal (sx : StrictSegal X) : IsStrictSegal X where segal n := sx.spineEquiv n |>.bijective

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