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zstone1 committed Sep 20, 2024
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`order_hausdorff`, `clopen_bigcup_clopen`, `zero_dimensional_ray`,
`order_nbhs_itv`, `open_order_weak`, and `real_order_nbhsE`.

- in file `classical_orders.v`,
+ new definitions `share_prefix`, `first_diff`, `lexi_bigprod`, `start_with`,
`big_lexi_order`, and `big_lexi_ord`.
+ new lemmas `share_prefix0`, `share_prefixC`, `share_prefixS`,
`share_prefix_refl`, `share_prefix_trans`, `first_diffC`,
`first_diff_unique`, `first_diff_SomeP`, `first_diff_NoneP`,
`first_diff_lt`, `first_diff_eq`, `first_diff_dfwith`,
`lexi_bigprod_reflexive`, `lexi_bigprod_anti`, `lexi_bigprod_trans`,
`lexi_bigprod_total`, `start_with_prefix`, `lexi_bigprod_prefix_lt`,
`lexi_bigprod_prefix_gt`, `lexi_bigprod_between`,
`big_lexi_interval_prefix`, and `shared_prefix_closed_itv`.

### Changed
- in `topology.v`:
+ removed the pointed assumptions from `FilteredType`, `Nbhs`,
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