fromSum_map_inr — Mathlib

English

FromSum maps inl and inr coherently with inclusions, i.e., the action on Sum.inl and Sum.inr is controlled by the inclusions.

Русский

FromSum согласованно действует на Sum.inl и Sum.inr, управляемые инклюзиями.

LaTeX

$$$\mathrm{fromSum} \; (\mathrm{Sum.inl} \ f) = \mathrm{inclLeft} \; f$, and similarly for inr.$$

Lean4

@[simp]
theorem fromSum_map_inr {d d' : D} (f : d ⟶ d') : (fromSum C D).map ((Sum.inr_ C D).map f) = (inclRight C D).map f :=
  rfl

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