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I corrected an apparent typo:
A 2-monad $T$ as above is lax-idempotent if and only if for any $T$-algebra $a \colon T A \to A$ there is a 2-cell $\theta_a \colon 1 \Rightarrow \eta \circ a$
to
A 2-monad $T$ as above is lax-idempotent if and only if for any $T$-algebra $a \colon T A \to A$ there is a 2-cell $\theta_a \colon 1 \Rightarrow \eta_A \circ a$
It might be nice to say $\eta_A$ is the unit of the algebra….
For the reference
it seems that the pdf link does not work any more. It is also referred as such at author’s webpage.
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