Unit becomes counit

Thanks to weng yixiang
https://stacks.math.columbia.edu/tag/08N8#comment-7525

CONTRIBUTORS

@@ -501,6 +501,7 @@ Mengxue Yang
 Yuan Yang
 Haodong Yao
 Amnon Yekutieli
+Weng Yixiang
 Alex Youcis
 Jize Yu
 John Yu

simplicial.tex

@@ -6629,13 +6629,13 @@ \section{Standard resolutions}
 For the construction we will use the horizontal composition as
 defined in Categories, Section \ref{categories-section-formal-cat-cat}.
 The definition of the adjunction morphisms\footnote{We can't use
-$\epsilon$ for the unit of the adjunction
+$\epsilon$ for the counit of the adjunction
 because we want to use $\epsilon$ for the
 augmentation of our simplicial obejct.}
 $$
-d : U \circ V \to \text{id}_\mathcal{A} \quad (\text{unit})
+d : U \circ V \to \text{id}_\mathcal{A} \quad (\text{counit})
 \quad\text{and}\quad
-\eta : \text{id}_\mathcal{S} \to V \circ U \quad (\text{counit})
+\eta : \text{id}_\mathcal{S} \to V \circ U \quad (\text{unit})
 $$
 in Categories, Section \ref{categories-section-adjoint}
 shows that the compositions