[000K] DefinitionLet UUU be a universe. We define a morphism p:A∙→A\mathord {\textnormal {\textsf {p}}}:\mathbb {A}_{\bullet }\rightarrow \mathbb {A}p:A∙→A in Topos(U)\mathord {\textnormal {\textsf {Topos}}}(U)Topos(U) to be the one sent by Sh\mathord {\textnormal {\textsf {Sh}}}Sh to w∗:⟨w⟩LexCocompU→⟨w⟩LexCocompU/w{\mathord {\textnormal {\textsf {w}}}}^{*}:{\langle \mathord {\textnormal {\textsf {w}}}\rangle }_{\mathord {\textnormal {\textsf {LexCocomp}}}_{U}}\rightarrow {\langle \mathord {\textnormal {\textsf {w}}}\rangle }_{\mathord {\textnormal {\textsf {LexCocomp}}}_{U}}/\mathord {\textnormal {\textsf {w}}}w∗:⟨w⟩LexCocompU→⟨w⟩LexCocompU/w.