In detail, $f$ is corepresentably essentially injective if, for each pair of morphisms $\phi ,\psi \colon B\rightrightarrows X$ of $\mathcal{C}$, the following condition is satisfied:
- If $\phi \circ f\cong \psi \circ f$, then $\phi \cong \psi $.
Here's a breakdown of the differences between each PDF style:
Style | Class | Font | Theorem Environments |
---|---|---|---|
Style 1 | book |
Alegreya Sans | tcbthm |
Style 2 | book |
Alegreya Sans | amsthm |
Style 3 | book |
Arno* | amsthm |
Style 4 | book |
Computer Modern | amsthm |
*To be replaced with Linus Romer's Elemaints when it is released.
In detail, $f$ is corepresentably essentially injective if, for each pair of morphisms $\phi ,\psi \colon B\rightrightarrows X$ of $\mathcal{C}$, the following condition is satisfied: