Composition of functions (follow up) #4271
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Main: * new theorems ~focnvimacdmdm , ~focofo * proof of ~foco shortened * ~rescnvimafod revised AV's Mathbox: * new theorems ~fresfo , ~fcoresf1b , ~fcoresfob , ~fcoresf1ob, +funfocofob, ~fnfocofob * ~fcoresf1 , ~f1ocof1ob revised * proof of ~focofob, ~f1ocof1ob2 shortened
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As suggested by GL, the theorems about compositions represented by restrictions of its components could be made bidirectional (see ~fcoresf1b , ~fcoresfob , ~fcoresf1ob). Furthermore, the theorems requiring
ran F = Bcould be simplified (~fnfocofob, ~f1ocof1ob).Details:
Main:
AV's Mathbox: