naturalityProperty — Mathlib

English

For i ∈ {0,1}, the naturality of mk.app with δ₂ i holds, i.e., composition with δ₂ maps is compatible with mk.app.

Русский

Для i ∈ {0,1} естественность mk.app с δ₂ i: композиция с δ₂ совместима с mk.app.

LaTeX

$$$\forall i \in \{0,1\},\; \text{mk_naturality}_{δ_2 i} \text{ holds for } F$.$$

Lean4

/-- Naturality of the components defined by `toNerve₂.mk.app` as a morphism property of
maps in `SimplexCategory.Truncated 2`. -/
abbrev naturalityProperty : MorphismProperty (SimplexCategory.Truncated 2) :=
  (MorphismProperty.naturalityProperty (fun n => toNerve₂.mk.app F n.unop)).unop

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