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feat: simproc for computing Finset.Ixx
of natural numbers
#22039
base: master
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YaelDillies
commented
Feb 18, 2025
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edited
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edited
- depends on: feat: interaction of finite intervals and succ/pred #22290
PR summary 4665b7c1d2Import changes exceeding 2%
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File | Base Count | Head Count | Change |
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Mathlib.Algebra.Order.Interval.Finset | 512 | 532 | +20 (+3.91%) |
Import changes for all files
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Mathlib.RingTheory.Smooth.StandardSmoothCotangent Mathlib.RingTheory.Smooth.StandardSmooth Mathlib.RingTheory.Spectrum.Maximal.Localization Mathlib.RingTheory.Spectrum.Maximal.Topology Mathlib.RingTheory.Spectrum.Prime.Basic Mathlib.RingTheory.Spectrum.Prime.ConstructibleSet Mathlib.RingTheory.Spectrum.Prime.FreeLocus Mathlib.RingTheory.Spectrum.Prime.IsOpenComapC Mathlib.RingTheory.Spectrum.Prime.Jacobson Mathlib.RingTheory.Spectrum.Prime.Module Mathlib.RingTheory.Spectrum.Prime.Noetherian Mathlib.RingTheory.Spectrum.Prime.Polynomial Mathlib.RingTheory.Spectrum.Prime.RingHom Mathlib.RingTheory.Spectrum.Prime.TensorProduct Mathlib.RingTheory.Spectrum.Prime.Topology Mathlib.RingTheory.Support Mathlib.RingTheory.SurjectiveOnStalks Mathlib.RingTheory.TensorProduct.Finite Mathlib.RingTheory.TensorProduct.Nontrivial Mathlib.RingTheory.TensorProduct.Quotient Mathlib.RingTheory.Trace.Basic Mathlib.RingTheory.Trace.Defs Mathlib.RingTheory.Trace.Quotient Mathlib.RingTheory.Unramified.Basic Mathlib.RingTheory.Unramified.Field Mathlib.RingTheory.Unramified.Finite Mathlib.RingTheory.Unramified.LocalRing Mathlib.RingTheory.Unramified.Locus Mathlib.RingTheory.Unramified.Pi Mathlib.RingTheory.Valuation.AlgebraInstances Mathlib.RingTheory.Valuation.Archimedean Mathlib.RingTheory.Valuation.Integral Mathlib.RingTheory.Valuation.LocalSubring Mathlib.RingTheory.Valuation.Minpoly Mathlib.RingTheory.Valuation.PrimeMultiplicity Mathlib.RingTheory.Valuation.Quotient Mathlib.RingTheory.Valuation.RamificationGroup Mathlib.RingTheory.Valuation.ValuationRing Mathlib.RingTheory.Valuation.ValuationSubring Mathlib.RingTheory.WittVector.Basic Mathlib.RingTheory.WittVector.Compare Mathlib.RingTheory.WittVector.Complete Mathlib.RingTheory.WittVector.Defs Mathlib.RingTheory.WittVector.DiscreteValuationRing Mathlib.RingTheory.WittVector.Domain Mathlib.RingTheory.WittVector.FrobeniusFractionField Mathlib.RingTheory.WittVector.Frobenius Mathlib.RingTheory.WittVector.Identities Mathlib.RingTheory.WittVector.InitTail Mathlib.RingTheory.WittVector.IsPoly Mathlib.RingTheory.WittVector.Isocrystal Mathlib.RingTheory.WittVector.MulCoeff Mathlib.RingTheory.WittVector.MulP Mathlib.RingTheory.WittVector.StructurePolynomial Mathlib.RingTheory.WittVector.Teichmuller Mathlib.RingTheory.WittVector.Truncated Mathlib.RingTheory.WittVector.Verschiebung Mathlib.RingTheory.ZMod Mathlib.SetTheory.Cardinal.Free Mathlib.SetTheory.Nimber.Field Mathlib.Tactic.FunProp.ContDiff Mathlib.Tactic.FunProp.Differentiable Mathlib.Tactic.NormNum.LegendreSymbol Mathlib.Tactic.ReduceModChar Mathlib.Topology.Algebra.Category.ProfiniteGrp.Basic Mathlib.Topology.Algebra.Category.ProfiniteGrp.Limits Mathlib.Topology.Algebra.InfiniteSum.ENNReal Mathlib.Topology.Algebra.InfiniteSum.Real Mathlib.Topology.Algebra.IsOpenUnits Mathlib.Topology.Algebra.Module.Cardinality Mathlib.Topology.Algebra.Module.CharacterSpace Mathlib.Topology.Algebra.Module.Determinant 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Mathlib.Topology.Category.LightProfinite.Extend Mathlib.Topology.Category.LightProfinite.Limits Mathlib.Topology.Category.LightProfinite.Sequence Mathlib.Topology.Category.Locale Mathlib.Topology.Category.Profinite.AsLimit Mathlib.Topology.Category.Profinite.Basic Mathlib.Topology.Category.Profinite.CofilteredLimit Mathlib.Topology.Category.Profinite.EffectiveEpi Mathlib.Topology.Category.Profinite.Extend Mathlib.Topology.Category.Profinite.Limits Mathlib.Topology.Category.Profinite.Nobeling Mathlib.Topology.Category.Profinite.Product Mathlib.Topology.Category.Profinite.Projective Mathlib.Topology.Category.Stonean.Adjunctions Mathlib.Topology.Category.Stonean.Basic Mathlib.Topology.Category.Stonean.EffectiveEpi Mathlib.Topology.Category.Stonean.Limits Mathlib.Topology.Category.TopCat.Sphere Mathlib.Topology.Compactification.OnePointEquiv Mathlib.Topology.Compactness.CompactlyGeneratedSpace Mathlib.Topology.ContinuousMap.Bounded.Star Mathlib.Topology.ContinuousMap.Compact Mathlib.Topology.ContinuousMap.CompactlySupported Mathlib.Topology.ContinuousMap.ContinuousMapZero Mathlib.Topology.ContinuousMap.Ideals Mathlib.Topology.ContinuousMap.Polynomial Mathlib.Topology.ContinuousMap.StarOrdered Mathlib.Topology.ContinuousMap.StoneWeierstrass Mathlib.Topology.ContinuousMap.Units Mathlib.Topology.ContinuousMap.Weierstrass Mathlib.Topology.ContinuousMap.ZeroAtInfty Mathlib.Topology.EMetricSpace.BoundedVariation Mathlib.Topology.Instances.AddCircle Mathlib.Topology.Instances.Complex Mathlib.Topology.Instances.ENNReal.Lemmas Mathlib.Topology.Instances.EReal.Lemmas Mathlib.Topology.Instances.Irrational Mathlib.Topology.Instances.Matrix Mathlib.Topology.Instances.RatLemmas Mathlib.Topology.Maps.Proper.CompactlyGenerated Mathlib.Topology.MetricSpace.CantorScheme Mathlib.Topology.MetricSpace.Closeds Mathlib.Topology.MetricSpace.Contracting Mathlib.Topology.MetricSpace.GromovHausdorffRealized Mathlib.Topology.MetricSpace.GromovHausdorff Mathlib.Topology.MetricSpace.HausdorffDimension Mathlib.Topology.MetricSpace.HausdorffDistance Mathlib.Topology.MetricSpace.HolderNorm Mathlib.Topology.MetricSpace.Holder Mathlib.Topology.MetricSpace.Kuratowski Mathlib.Topology.MetricSpace.PartitionOfUnity Mathlib.Topology.MetricSpace.Perfect Mathlib.Topology.MetricSpace.PiNat Mathlib.Topology.MetricSpace.Polish Mathlib.Topology.MetricSpace.ThickenedIndicator Mathlib.Topology.MetricSpace.Thickening Mathlib.Topology.MetricSpace.Ultra.ContinuousMaps Mathlib.Topology.Metrizable.Urysohn Mathlib.Topology.Order.Category.FrameAdjunction Mathlib.Topology.PartitionOfUnity Mathlib.Topology.Semicontinuous Mathlib.Topology.Separation.CompletelyRegular Mathlib.Topology.Separation.NotNormal Mathlib.Topology.Sheaves.CommRingCat Mathlib.Topology.TietzeExtension Mathlib.Topology.UrysohnsBounded Mathlib.Topology.UrysohnsLemma Mathlib.Topology.VectorBundle.Basic Mathlib.Topology.VectorBundle.Constructions Mathlib.Topology.VectorBundle.Hom |
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Mathlib.RingTheory.HahnSeries.PowerSeries Mathlib.Tactic |
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4 filesMathlib.AlgebraicGeometry.ProjectiveSpectrum.Topology Mathlib.Topology.Algebra.IntermediateField Mathlib.Topology.Algebra.Nonarchimedean.AdicTopology Mathlib.Topology.Algebra.TopologicallyNilpotent |
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50 filesMathlib.Algebra.Algebra.Quasispectrum Mathlib.Algebra.Algebra.Spectrum Mathlib.Algebra.Algebra.Subalgebra.Operations Mathlib.Algebra.CharP.IntermediateField Mathlib.Algebra.MvPolynomial.Derivation Mathlib.Algebra.MvPolynomial.Equiv Mathlib.Algebra.MvPolynomial.PDeriv Mathlib.Algebra.MvPolynomial.Polynomial Mathlib.Algebra.Polynomial.AlgebraMap Mathlib.Algebra.Polynomial.Smeval Mathlib.Algebra.Ring.Subring.IntPolynomial Mathlib.Algebra.Star.Unitary Mathlib.FieldTheory.IntermediateField.Adjoin.Defs Mathlib.FieldTheory.IntermediateField.Basic Mathlib.FieldTheory.RatFunc.Defs Mathlib.NumberTheory.Basic Mathlib.RingTheory.Adjoin.Polynomial Mathlib.RingTheory.Algebraic.Defs Mathlib.RingTheory.Algebraic.LinearIndependent Mathlib.RingTheory.Algebraic.Pi Mathlib.RingTheory.Coprime.Ideal Mathlib.RingTheory.Derivation.Basic Mathlib.RingTheory.Derivation.DifferentialRing Mathlib.RingTheory.DividedPowers.Basic Mathlib.RingTheory.GradedAlgebra.Homogeneous.Ideal Mathlib.RingTheory.GradedAlgebra.Radical Mathlib.RingTheory.HahnSeries.HEval Mathlib.RingTheory.HahnSeries.Valuation Mathlib.RingTheory.Ideal.Basic Mathlib.RingTheory.Ideal.Colon Mathlib.RingTheory.Ideal.Maps Mathlib.RingTheory.Ideal.Operations Mathlib.RingTheory.Ideal.Pointwise Mathlib.RingTheory.Ideal.Prod Mathlib.RingTheory.Polynomial.Bernstein Mathlib.RingTheory.Polynomial.ScaleRoots Mathlib.RingTheory.Polynomial.Tower Mathlib.RingTheory.Polynomial.Wronskian Mathlib.RingTheory.PolynomialAlgebra Mathlib.RingTheory.PowerSeries.Basic Mathlib.RingTheory.PowerSeries.Trunc Mathlib.RingTheory.PowerSeries.WellKnown Mathlib.RingTheory.TensorProduct.MvPolynomial Mathlib.RingTheory.UniqueFactorizationDomain.Ideal Mathlib.RingTheory.Valuation.Basic Mathlib.RingTheory.Valuation.Discrete.Basic Mathlib.RingTheory.Valuation.ExtendToLocalization Mathlib.RingTheory.Valuation.Integers Mathlib.RingTheory.Valuation.RankOne Mathlib.RingTheory.Valuation.ValExtension |
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38 filesMathlib.Algebra.BigOperators.Intervals Mathlib.Algebra.BigOperators.Module Mathlib.Algebra.GeomSum Mathlib.Algebra.Group.ForwardDiff Mathlib.Algebra.Order.CauSeq.BigOperators Mathlib.Algebra.Polynomial.CancelLeads Mathlib.Algebra.Polynomial.Coeff Mathlib.Algebra.Polynomial.Degree.Domain Mathlib.Algebra.Polynomial.Degree.Lemmas Mathlib.Algebra.Polynomial.Degree.Operations Mathlib.Algebra.Polynomial.Degree.SmallDegree Mathlib.Algebra.Polynomial.Degree.Support Mathlib.Algebra.Polynomial.Degree.Units Mathlib.Algebra.Polynomial.Derivative Mathlib.Algebra.Polynomial.Eval.Coeff Mathlib.Algebra.Polynomial.Eval.Degree Mathlib.Algebra.Polynomial.Eval.Irreducible Mathlib.Algebra.Polynomial.Eval.SMul Mathlib.Algebra.Polynomial.Eval.Subring Mathlib.Algebra.Polynomial.Identities Mathlib.Algebra.Ring.Divisibility.Lemmas Mathlib.Combinatorics.Colex Mathlib.Combinatorics.Enumerative.Bell Mathlib.Combinatorics.Enumerative.IncidenceAlgebra Mathlib.Combinatorics.SetFamily.AhlswedeZhang Mathlib.Data.Nat.Choose.Cast Mathlib.Data.Nat.Choose.Multinomial Mathlib.Data.Nat.Choose.Sum Mathlib.Data.Nat.Choose.Vandermonde Mathlib.Data.Nat.Digits Mathlib.Data.Nat.Factorial.Cast Mathlib.NumberTheory.FactorisationProperties Mathlib.NumberTheory.Primorial Mathlib.RingTheory.Nilpotent.Basic Mathlib.RingTheory.Polynomial.Hermite.Basic Mathlib.RingTheory.Polynomial.Opposites Mathlib.RingTheory.Polynomial.Pochhammer Mathlib.Tactic.ComputeDegree |
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Mathlib.Combinatorics.Additive.AP.Three.Defs |
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Mathlib.Algebra.Order.Interval.Multiset |
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Mathlib.Algebra.Order.Interval.Finset |
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Mathlib.Order.Interval.Finset.SuccPred (new file) |
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Mathlib.Tactic.Simproc.FinsetInterval (new file) |
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Declarations diff
+ Icc_add_one_left_eq_Ioc
+ Icc_add_one_left_eq_Ioc_of_not_isMax
+ Icc_add_one_sub_one_eq_Ioo
+ Icc_pred_right_eq_Ico
+ Icc_pred_right_eq_Ico_of_not_isMin
+ Icc_sub_one_right_eq_Ico
+ Icc_sub_one_right_eq_Ico_of_not_isMin
+ Icc_succ_left_eq_Ioc
+ Icc_succ_left_eq_Ioc_of_not_isMax
+ Icc_succ_pred_eq_Ioo
+ Ico_add_one_add_one_eq_Ioc
+ Ico_add_one_add_one_eq_Ioc_of_not_isMax
+ Ico_add_one_left_eq_Ioo
+ Ico_add_one_right_eq_Icc
+ Ico_add_one_right_eq_Icc_of_not_isMax
+ Ico_succ_left_eq_Ioo
+ Ico_succ_right_eq_Icc
+ Ico_succ_right_eq_Icc_of_not_isMax
+ Ico_succ_succ_eq_Ioc
+ Ico_succ_succ_eq_Ioc_of_not_isMax
+ Ioc_pred_left_eq_Icc
+ Ioc_pred_left_eq_Icc_of_not_isMin
+ Ioc_pred_pred_eq_Ico
+ Ioc_pred_pred_eq_Ico_of_not_isMin
+ Ioc_pred_right_eq_Ioo
+ Ioc_sub_one_left_eq_Icc
+ Ioc_sub_one_left_eq_Icc_of_not_isMin
+ Ioc_sub_one_right_eq_Ioo
+ Ioc_sub_one_sub_one_eq_Ico
+ Ioc_sub_one_sub_one_eq_Ico_of_not_isMin
+ Ioo_add_one_right_eq_Ioc
+ Ioo_add_one_right_eq_Ioc_of_not_isMax
+ Ioo_pred_left_eq_Ioc
+ Ioo_pred_left_eq_Ioc_of_not_isMin
+ Ioo_sub_one_left_eq_Ioc
+ Ioo_sub_one_left_eq_Ioc_of_not_isMin
+ Ioo_succ_right_eq_Ioc
+ Ioo_succ_right_eq_Ioc_of_not_isMax
+ evalFinsetIccNat
+ isNat_natPred
+ isNat_zero'
+ mkNatLitQ
You can run this locally as follows
## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>
## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>
The doc-module for script/declarations_diff.sh
contains some details about this script.
Increase in tech debt: (relative, absolute) = (6.00, 0.06)
Current number | Change | Type |
---|---|---|
97 | 6 | disabled deprecation lints |
Current commit 4665b7c1d2
Reference commit 5d68dc43ba
You can run this locally as
./scripts/technical-debt-metrics.sh pr_summary
- The
relative
value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic. - The
absolute
value is therelative
value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).
@eric-wieser, I tried making this simproc as a prototypical example of a simproc (I doubt it is actually useful as a default simproc, would be nice if simprocs could be added to individual simp calls similarly to lemmas) but it times out any slightly non-trivial example. Could you explain what I did wrong? |
Finset.Icc
of natural numbersFinset.Ixx
of natural numbers
namespace Finset | ||
|
||
/-- Simproc to compute `Finset.Icc a b` when `a b : ℕ`. -/ | ||
simproc_decl Icc_nat (Icc _ _) := fun e ↦ do |
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simproc_decl Icc_nat (Icc _ _) := fun e ↦ do | |
simproc_decl Icc_ofNat_ofNat (Icc _ _) := fun e ↦ do |
since this is really about ofNat
in an Icc
term.
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I'm not sure I am following. This does not compute Icc (2 : Int) (4 : Int)
(I am letting @Paul-Lez write a similar simproc for that, which he'll call Icc_int
)
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This generally looks close, please ping me or Mario for another round of review.
let hmn ← mkDecideProofQq q($em ≤ $en) | ||
let hm := q(isNat_natSucc $hm rfl) | ||
let ⟨s, hs⟩ ← evalFinsetIccNat (m+1) n hm hn | ||
return ⟨q(insert $em $s), q(Icc_eq_insert_of_Icc_succ_eq $hmn $hs)⟩ |
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Hot take: we should produce Finset.cons
instead!
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Maybe, but it doesn't have the nice notation associated with it. Beginners would certainly expect the nice notation to be produced
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What about we instead have another simproc that turns any insert
into cons
? I guess that will be quadratic time in general 😬
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Currently, we simp
lify the other way around.
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Yeah, I don't think that's great either
let m := em.natLit! | ||
let n := en.natLit! | ||
let ⟨s, p⟩ ← evalFinsetIccNat m n hm hn | ||
return .done { expr := s, proof? := p } |
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I have some code somewhere that Qq-ifies this to make things easier; I'll see if I can find it.
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That would be great. It feels sad that Qq support ends at NormNum.Result
/-! | ||
Note that these simprocs are not made simp to avoid simp blowing up on goals containing things of | ||
the form `Iic (2 ^ 1024)`. | ||
-/ |
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Something to consider: turn these on by default, but with a hard-coded (or option controlled?) limit on the size of the produced Finset. (Perhaps around 37? :-)
There's a trade-off between convenience, and someone getting confused about why it suddenly stops working when they use it above the limit.
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I don't think it is ever convenient for these to be on by default? Happy to be outvoted here
- I'm not sure how to get the default limit working without introducing two simprocs, one on by default which only works for small sizes, one off by default which works for all sizes
Originally coming from #22039
Originally coming from #22039
Co-authored-by: Arend Mellendijk <[email protected]>
Co-authored-by: Arend Mellendijk <[email protected]>
Co-authored-by: github-actions[bot] <41898282+github-actions[bot]@users.noreply.github.com>
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