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[Merged by Bors] - feat(combinatorics/set_family/ahlswede_zhang): Ahlswede-Zhang identity, part I #18612
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Co-authored-by: Bhavik Mehta <[email protected]>
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…y, part I (#18612) The Ahlswede-Zhang identity is a sharpening of the [Lubell-Yamamoto-Meshalkin identity](https://leanprover-community.github.io/mathlib_docs/combinatorics/set_family/lym.html#finset.sum_card_slice_div_choose_le_one), by expliciting the correction term. This PR defines `finset.truncated_sup`/`finset.truncated_inf`, whose cardinalities show up in the correction term. Co-authored-by: Vladimir Ivanov <[email protected]>
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Match leanprover-community/mathlib3#18612. The lemmas were already added in #7382, though a slight difference in the statement means that we need a new `decidableExistsAndFinsetCoe` instance.
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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)
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# Conflicts:
# README.md
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The Ahlswede-Zhang identity is a sharpening of the Lubell-Yamamoto-Meshalkin identity, by expliciting the correction term.
This PR defines
finset.truncated_sup/finset.truncated_inf, whose cardinalities show up in the correction term.Co-authored-by: Vladimir Ivanov [email protected]
sup'/inf'lemmas #18989I'm not really sure where to put the decidability instances for
upper_closure/lower_closureonfinset.