[Merged by Bors] - chore(topology/algebra/ordered): use dot notation, golf some proofs #6595
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* `is_lub_of_is_lub_of_tendsto` → `is_lub.is_lub_of_tendsto`; * `is_glb_of_is_glb_of_tendsto` → `is_glb.is_glb_of_tendsto`; * `is_glb_of_is_lub_of_tendsto` → `is_lub.is_glb_of_tendsto`; * `is_lub_of_is_glb_of_tendsto` → `is_glb.is_lub_of_tendsto`; * `mem_closure_of_is_lub` → `is_lub.mem_closure`; * `mem_of_is_lub_of_is_closed` → `is_lub.mem_of_is_closed`, `is_closed.is_lub_mem`; * `mem_closure_of_is_glb` → `is_glb.mem_closure`; * `mem_of_is_glb_of_is_closed` → `is_glb.mem_of_is_closed`, `is_closed.is_glb_mem`; * `is_lub.inter_Ici_of_mem` * `is_glb.inter_Iic_of_mem` * `frequently.filter_mono` * `is_lub.frequently_mem` * `is_lub.frequently_nhds_mem` * `is_glb.frequently_mem` * `is_glb.frequently_nhds_mem` * `is_lub.mem_upper_bounds_of_tendsto` * `is_glb.mem_lower_bounds_of_tendsto` * `is_lub.mem_lower_bounds_of_tendsto` * `is_glb.mem_upper_bounds_of_tendsto` * `diff_subset_closure_iff`
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…6595) Use more precise typeclass arguments here and there, golf some proofs, use dot notation. ### Renamed lemmas * `is_lub_of_is_lub_of_tendsto` → `is_lub.is_lub_of_tendsto`; * `is_glb_of_is_glb_of_tendsto` → `is_glb.is_glb_of_tendsto`; * `is_glb_of_is_lub_of_tendsto` → `is_lub.is_glb_of_tendsto`; * `is_lub_of_is_glb_of_tendsto` → `is_glb.is_lub_of_tendsto`; * `mem_closure_of_is_lub` → `is_lub.mem_closure`; * `mem_of_is_lub_of_is_closed` → `is_lub.mem_of_is_closed`, `is_closed.is_lub_mem`; * `mem_closure_of_is_glb` → `is_glb.mem_closure`; * `mem_of_is_glb_of_is_closed` → `is_glb.mem_of_is_closed`, `is_closed.is_glb_mem`; ### New lemmas * `is_lub.inter_Ici_of_mem` * `is_glb.inter_Iic_of_mem` * `frequently.filter_mono` * `is_lub.frequently_mem` * `is_lub.frequently_nhds_mem` * `is_glb.frequently_mem` * `is_glb.frequently_nhds_mem` * `is_lub.mem_upper_bounds_of_tendsto` * `is_glb.mem_lower_bounds_of_tendsto` * `is_lub.mem_lower_bounds_of_tendsto` * `is_glb.mem_upper_bounds_of_tendsto` * `diff_subset_closure_iff`
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ocfnash
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Mar 12, 2021
…6595) Use more precise typeclass arguments here and there, golf some proofs, use dot notation. ### Renamed lemmas * `is_lub_of_is_lub_of_tendsto` → `is_lub.is_lub_of_tendsto`; * `is_glb_of_is_glb_of_tendsto` → `is_glb.is_glb_of_tendsto`; * `is_glb_of_is_lub_of_tendsto` → `is_lub.is_glb_of_tendsto`; * `is_lub_of_is_glb_of_tendsto` → `is_glb.is_lub_of_tendsto`; * `mem_closure_of_is_lub` → `is_lub.mem_closure`; * `mem_of_is_lub_of_is_closed` → `is_lub.mem_of_is_closed`, `is_closed.is_lub_mem`; * `mem_closure_of_is_glb` → `is_glb.mem_closure`; * `mem_of_is_glb_of_is_closed` → `is_glb.mem_of_is_closed`, `is_closed.is_glb_mem`; ### New lemmas * `is_lub.inter_Ici_of_mem` * `is_glb.inter_Iic_of_mem` * `frequently.filter_mono` * `is_lub.frequently_mem` * `is_lub.frequently_nhds_mem` * `is_glb.frequently_mem` * `is_glb.frequently_nhds_mem` * `is_lub.mem_upper_bounds_of_tendsto` * `is_glb.mem_lower_bounds_of_tendsto` * `is_lub.mem_lower_bounds_of_tendsto` * `is_glb.mem_upper_bounds_of_tendsto` * `diff_subset_closure_iff`
b-mehta
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Apr 2, 2021
…6595) Use more precise typeclass arguments here and there, golf some proofs, use dot notation. ### Renamed lemmas * `is_lub_of_is_lub_of_tendsto` → `is_lub.is_lub_of_tendsto`; * `is_glb_of_is_glb_of_tendsto` → `is_glb.is_glb_of_tendsto`; * `is_glb_of_is_lub_of_tendsto` → `is_lub.is_glb_of_tendsto`; * `is_lub_of_is_glb_of_tendsto` → `is_glb.is_lub_of_tendsto`; * `mem_closure_of_is_lub` → `is_lub.mem_closure`; * `mem_of_is_lub_of_is_closed` → `is_lub.mem_of_is_closed`, `is_closed.is_lub_mem`; * `mem_closure_of_is_glb` → `is_glb.mem_closure`; * `mem_of_is_glb_of_is_closed` → `is_glb.mem_of_is_closed`, `is_closed.is_glb_mem`; ### New lemmas * `is_lub.inter_Ici_of_mem` * `is_glb.inter_Iic_of_mem` * `frequently.filter_mono` * `is_lub.frequently_mem` * `is_lub.frequently_nhds_mem` * `is_glb.frequently_mem` * `is_glb.frequently_nhds_mem` * `is_lub.mem_upper_bounds_of_tendsto` * `is_glb.mem_lower_bounds_of_tendsto` * `is_lub.mem_lower_bounds_of_tendsto` * `is_glb.mem_upper_bounds_of_tendsto` * `diff_subset_closure_iff`
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Use more precise typeclass arguments here and there, golf some proofs, use dot notation.
Renamed lemmas
is_lub_of_is_lub_of_tendsto→is_lub.is_lub_of_tendsto;is_glb_of_is_glb_of_tendsto→is_glb.is_glb_of_tendsto;is_glb_of_is_lub_of_tendsto→is_lub.is_glb_of_tendsto;is_lub_of_is_glb_of_tendsto→is_glb.is_lub_of_tendsto;mem_closure_of_is_lub→is_lub.mem_closure;mem_of_is_lub_of_is_closed→is_lub.mem_of_is_closed,is_closed.is_lub_mem;mem_closure_of_is_glb→is_glb.mem_closure;mem_of_is_glb_of_is_closed→is_glb.mem_of_is_closed,is_closed.is_glb_mem;New lemmas
is_lub.inter_Ici_of_memis_glb.inter_Iic_of_memfrequently.filter_monois_lub.frequently_memis_lub.frequently_nhds_memis_glb.frequently_memis_glb.frequently_nhds_memis_lub.mem_upper_bounds_of_tendstois_glb.mem_lower_bounds_of_tendstois_lub.mem_lower_bounds_of_tendstois_glb.mem_upper_bounds_of_tendstodiff_subset_closure_iff