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[Merged by Bors] - feat(data/sum/interval): The lexicographic sum of two locally finite orders is locally finite#11352
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[Merged by Bors] - feat(data/sum/interval): The lexicographic sum of two locally finite orders is locally finite#11352YaelDillies wants to merge 10 commits intomasterfrom
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Sorry, but is "The lexicographic sum of two locally finite orders is locally finite" true? It seems to me that if you took the lexicographic sum of two copies of the integers, and asked for an interval with the lower bound in the lower copy and the upper bound in the upper copy, the interval would not be finite. |
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I sure hope it is if you require the left summand to have a top and the right summand to have a bot! |
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bors d+ Please merge whenever seems a good moment to be able to promptly forward port. :-) |
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bors merge |
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…orders is locally finite (#11352) This proves `locally_finite_order (α ⊕ₗ β)` where `α` and `β` are locally finite themselves.
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…inite (#6340) Forward-ports leanprover-community/mathlib3#11352 Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
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…inite (#6340) Forward-ports leanprover-community/mathlib3#11352 Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
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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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This proves
locally_finite_order (α ⊕ₗ β)whereαandβare locally finite themselves.