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TOTBWF
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Apr 4, 2026
| \end{tikzcd}\] | ||
| ~~~ | ||
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| A morphism $g : (x', p) \to_f (y', q)$ lying over $f : x \to y$ is a map |
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The names in the code don't line up with those in the prose nor the diagram.
| ## The total category | ||
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| There is an evident [[lifting]] of $P_\bull$ against $P$, which sends an | ||
| object $x : \cB$ to the pair $(x, \id) : \P_x$. |
| projection functor $\pi^f$ to $P$.[^recover] | ||
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| ```agda | ||
| Free-isofibration-recovers : πᶠ P∙ F∘ E→∫ ≅ⁿ P |
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This is just Lifting-nat-iso
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