Commit 2022-07-27 05:09 a0e2c623
View on Github →refactor(topology/algebra/order/basic): Add antitone versions of sup and inf lemmas for continuous monotone functions and move them to monotone/antitone namespaces. (#15218)
This PR adds antitone versions of lemmas about supremum and infimum under monotone functions and moves those lemmas to monotone/antitone namespaces. Simultaneously, the type class assumption on the codomain is weakened from order_topology
to order_closed_topology
.
Moreover, lemmas about limsup and liminf under monotone/antitone functions are added: antitone.map_Limsup_of_continuous_at
etc.