Commit 2026-09-03 13:27 bf543ce7

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chore(Order/liminfLimsup): use to_dual (#37757) This PR uses to_dual on limsup/liminf, and on some prerequisites. Renames bliminf_antitone to bliminf_anti. Deprecates bliminf_sup_le_inf_aux_left and bliminf_sup_le_inf_aux_right in favour of the stronger blimsup_and_le_inf. blimsup_and_le_inf has now been proved by apply_rw, which is a nice use of apply_rw, and I think the first one in mathlib.

Estimated changes

deleted theorem Set.Iic_iInf
deleted theorem Set.Iic_iInf₂
deleted theorem Set.Iic_sInf
deleted theorem iInf_iUnion
deleted theorem iInf_sUnion
deleted theorem sInf_sUnion
deleted def Filter.bliminf
deleted theorem Filter.bliminf_antitone
deleted theorem Filter.bliminf_congr'
deleted theorem Filter.bliminf_congr
deleted theorem Filter.bliminf_eq
deleted theorem Filter.bliminf_eq_liminf
deleted theorem Filter.bliminf_false
deleted theorem Filter.bliminf_inf_not
deleted theorem Filter.bliminf_not_inf
deleted theorem Filter.bliminf_or_eq_inf
deleted theorem Filter.bliminf_or_le_inf
deleted theorem Filter.bliminf_sup_le_and
deleted theorem Filter.bliminf_true
deleted theorem Filter.iInf_le_liminf
deleted theorem Filter.inf_liminf
deleted theorem Filter.inf_limsup
deleted theorem Filter.le_liminf_iff'
deleted theorem Filter.le_liminf_iff
deleted theorem Filter.le_liminf_of_le
deleted theorem Filter.le_limsInf_of_le
deleted def Filter.liminf
deleted theorem Filter.liminf_bot
deleted theorem Filter.liminf_comp
deleted theorem Filter.liminf_congr
deleted theorem Filter.liminf_const
deleted theorem Filter.liminf_const_top
deleted theorem Filter.liminf_eq
deleted theorem Filter.liminf_le_iff'
deleted theorem Filter.liminf_le_iff
deleted theorem Filter.liminf_le_liminf
deleted theorem Filter.liminf_le_of_le
deleted theorem Filter.liminf_piecewise
deleted theorem Filter.liminf_sup_filter
deleted theorem Filter.liminf_top_eq_iInf
deleted def Filter.limsInf
deleted theorem Filter.limsInf_bot
deleted theorem Filter.limsInf_le_limsInf
deleted theorem Filter.limsInf_le_of_le
deleted theorem Filter.limsInf_top
modified theorem Filter.limsup_bot
deleted theorem Filter.limsup_nat_add
modified theorem Filter.limsup_top_eq_iSup
deleted theorem Filter.mono_bliminf'
deleted theorem Filter.mono_bliminf
deleted theorem OrderIso.apply_bliminf
deleted theorem OrderIso.liminf_apply
deleted theorem liminf_finset_inf'
deleted theorem liminf_finset_inf
deleted theorem liminf_min
deleted theorem sInfHom.le_apply_bliminf