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[Merged by Bors] - feat(data/finset/lattice): sup'/inf' lemmas#18989
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[Merged by Bors] - feat(data/finset/lattice): sup'/inf' lemmas#18989YaelDillies wants to merge 8 commits intomasterfrom
sup'/inf' lemmas#18989YaelDillies wants to merge 8 commits intomasterfrom
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eric-wieser
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May 11, 2023
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| lemma sup'_product_left {t : finset γ} (hs : s.nonempty) (ht : t.nonempty) (f : β × γ → α) : | ||
| (s ×ˢ t).sup' (hs.product ht) f = s.sup' hs (λ i, t.sup' ht $ λ i', f ⟨i, i'⟩) := | ||
| eq_of_forall_ge_iff $ λ a, by simp [@forall_swap _ γ] | ||
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| lemma sup'_product_right {t : finset γ} (hs : s.nonempty) (ht : t.nonempty) (f : β × γ → α) : | ||
| (s ×ˢ t).sup' (hs.product ht) f = t.sup' ht (λ i', s.sup' hs $ λ i, f ⟨i, i'⟩) := | ||
| by rw [sup'_product_left, finset.sup'_comm] |
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I assume there's some precedent for these names; can you refer to it in a -- comment?
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Yeah, the corresponding finset.sup lemmas. Do you really think that's needed? I'm not going to write "See also finset.sup_x" in the docstring of every finset.sup'_x and vice-versa.
urkud
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Jul 22, 2023
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Otherwise LGTM. |
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bors d+ |
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Match (most of) the lemmas between `finset.sup`/`finset.inf` and `finset.sup'`/`finset.inf'`. Also golf two proofs using `eq_of_forall_ge_iff` to make sure both APIs prove their lemmas in as closely as possible a way. Also define `finset.nontrivial` to match `set.nontrivial`.
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Match (most of) the lemmas between `finset.sup`/`finset.inf` and `finset.sup'`/`finset.inf'`. Also golf two proofs using `eq_of_forall_ge_iff` to make sure both APIs prove their lemmas in as closely as possible a way. Also define `finset.nontrivial` to match `set.nontrivial`.
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sup'/inf' lemmassup'/inf' lemmas
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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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# README.md
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Match (most of) the lemmas between
finset.sup/finset.infandfinset.sup'/finset.inf'. Also golf two proofs usingeq_of_forall_ge_iffto make sure both APIs prove their lemmas in as closely as possible a way. Also definefinset.nontrivialto matchset.nontrivial.