inrCompFromSum — Mathlib

English

The canonical isomorphism inr from Sum to fromSum composed with the join equals inclRight.

Русский

Каноническое изоморфизм inr из Sum к fromSum композиционно равно inclRight.

LaTeX

$$$\mathrm{inrCompFromSum} : Sum.inr_ C D \;\circ\; \mathrm{fromSum} C D \cong \mathrm{inclRight} C D$$$

Lean4

/-- Characterization of `fromSum` with respect to the right inclusion. -/
@[simps! hom_app inv_app]
def inrCompFromSum : Sum.inr_ C D ⋙ fromSum C D ≅ inclRight C D :=
  Functor.inrCompSum' _ _

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