inclCompInclusion — Mathlib

English

For all n ≤ m, the composition incl n m followed by inclusion m is canonically isomorphic to inclusion n.

Русский

Для любых n ≤ m композиция incl n m followed by inclusion m изоморфна включению n.

LaTeX

$$$$ \\text{incl}(n,m,h) : \\mathrm{incl}\; n\\; m \\circ \\mathrm{inclusion}(m) \\cong \\mathrm{inclusion}(n) $$$$

Lean4

/-- For all `n ≤ m`, `inclusion n` factors through `Truncated m`. -/
def inclCompInclusion {n m : ℕ} (h : n ≤ m) : incl n m ⋙ inclusion m ≅ inclusion n :=
  Iso.refl _

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