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[Merged by Bors] - feat(topology/algebra/order/liminf_limsup): Eventual boundedness of neighborhoods #18629
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Co-authored-by: Yury G. Kudryashov <[email protected]>
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…eighborhoods (#18629) Generalise `bounded_le_nhds`/`bounded_ge_nhds` using two ad hoc typeclasses. The goal here is to circumvent the fact that the product of order topologies is *not* an order topology, and apply those lemmas to `ℝⁿ`.
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Forward port leanprover-community/mathlib3#18629 Co-authored-by: Eric Wieser <[email protected]>
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* commit '65a1391a0106c9204fe45bc73a039f056558cb83': (12443 commits) feat(data/{list,multiset,finset}/*): `attach` and `filter` lemmas (leanprover-community#18087) feat(combinatorics/simple_graph): More clique lemmas (leanprover-community#19203) feat(measure_theory/order/upper_lower): Order-connected sets in `ℝⁿ` are measurable (leanprover-community#16976) move old README.md to OLD_README.md doc: Add a warning mentioning Lean 4 to the readme (leanprover-community#19243) feat(topology/metric_space): diameter of pointwise zero and addition (leanprover-community#19028) feat(topology/algebra/order/liminf_limsup): Eventual boundedness of neighborhoods (leanprover-community#18629) feat(probability/independence): Independence of singletons (leanprover-community#18506) feat(combinatorics/set_family/ahlswede_zhang): Ahlswede-Zhang identity, part I (leanprover-community#18612) feat(data/finset/lattice): `sup'`/`inf'` lemmas (leanprover-community#18989) chore(order/liminf_limsup): Generalise and move lemmas (leanprover-community#18628) feat(algebraic_topology/dold_kan): The Dold-Kan equivalence for abelian categories (leanprover-community#17926) feat(data/sum/interval): The lexicographic sum of two locally finite orders is locally finite (leanprover-community#11352) feat(analysis/convex/proj_Icc): Extending convex functions (leanprover-community#18797) feat(algebraic_topology/dold_kan): The Dold-Kan equivalence for pseudoabelian categories (leanprover-community#17925) feat(measure_theory/measure/haar_quotient): the Unfolding Trick (leanprover-community#18863) feat(linear_algebra/orientation): add `orientation.reindex` (leanprover-community#19236) feat(combinatorics/quiver/covering): Definition of coverings and unique lifting of paths (leanprover-community#17828) feat(set_theory/game/pgame): small sets of pre-games / games / surreals are bounded (leanprover-community#15260) feat(tactic/positivity): Extension for `ite` (leanprover-community#17650) ... # Conflicts: # README.md
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modifies-synchronized-file
This PR touches a files that has already been ported to mathlib4, and may need a synchronization PR.
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This PR was ready at the point mathlib3 was frozen: we will try to merge it and port it to mathlib4
t-order
Order hierarchy
t-topology
Topological spaces, uniform spaces, metric spaces, filters
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Generalise
bounded_le_nhds
/bounded_ge_nhds
using two ad hoc typeclasses. The goal here is to circumvent the fact that the product of order topologies is not an order topology, and apply those lemmas toℝⁿ
.