chore(Algebra/Order/Floor): Split off round section

[BoltonBailey]

This PR splits the Algebra/Order/Floor.lean file, addressing an instance of a long-file tech debt issue. It does this by moving round and related lemmas to a new file.

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[github-actions]

PR summary f660f31865

Import changes for modified files

Dependency changes

File	Base Count	Head Count	Change
Mathlib.Algebra.Order.Floor	614	612	-2 (-0.33%)
Mathlib.Algebra.ContinuedFractions.Computation.Approximations	760	758	-2 (-0.26%)

Import changes for all files

Files	Import difference
8 files Mathlib.Algebra.ContinuedFractions.Computation.Approximations Mathlib.Algebra.ContinuedFractions.Computation.Basic Mathlib.Algebra.ContinuedFractions.Computation.CorrectnessTerminating Mathlib.Algebra.ContinuedFractions.Computation.Translations Mathlib.Algebra.Order.Floor Mathlib.Algebra.Order.Nonneg.Floor Mathlib.Data.Int.Log Mathlib.Order.Filter.AtTopBot.Floor	-2
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Mathlib.RingTheory.Spectrum.Prime.Polynomial Mathlib.RingTheory.TensorProduct.Nontrivial 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.Locus Mathlib.RingTheory.Unramified.Pi Mathlib.RingTheory.Valuation.Archimedean Mathlib.RingTheory.Valuation.RankOne Mathlib.RingTheory.WittVector.Basic Mathlib.RingTheory.WittVector.Compare 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 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Mathlib.Topology.Algebra.Nonarchimedean.Completion Mathlib.Topology.Algebra.Nonarchimedean.TotallyDisconnected Mathlib.Topology.Algebra.OpenSubgroup Mathlib.Topology.Algebra.Order.Archimedean Mathlib.Topology.Algebra.Order.Field Mathlib.Topology.Algebra.Order.Floor Mathlib.Topology.Algebra.Order.Group Mathlib.Topology.Algebra.Order.LiminfLimsup Mathlib.Topology.Algebra.Order.UpperLower Mathlib.Topology.Algebra.Polynomial Mathlib.Topology.Algebra.PontryaginDual Mathlib.Topology.Algebra.ProperAction.ProperlyDiscontinuous Mathlib.Topology.Algebra.Ring.Basic Mathlib.Topology.Algebra.Ring.Ideal Mathlib.Topology.Algebra.SeparationQuotient.Basic Mathlib.Topology.Algebra.SeparationQuotient.Section Mathlib.Topology.Algebra.StarSubalgebra Mathlib.Topology.Algebra.UniformConvergence Mathlib.Topology.Algebra.UniformField Mathlib.Topology.Algebra.UniformFilterBasis Mathlib.Topology.Algebra.UniformGroup.Basic Mathlib.Topology.Algebra.UniformGroup.Defs Mathlib.Topology.Algebra.UniformMulAction 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Mathlib.Topology.Instances.TrivSqZeroExt Mathlib.Topology.Instances.ZMultiples Mathlib.Topology.Maps.Proper.CompactlyGenerated Mathlib.Topology.MetricSpace.Algebra Mathlib.Topology.MetricSpace.Antilipschitz Mathlib.Topology.MetricSpace.Basic Mathlib.Topology.MetricSpace.Bilipschitz Mathlib.Topology.MetricSpace.Bounded Mathlib.Topology.MetricSpace.CantorScheme Mathlib.Topology.MetricSpace.CauSeqFilter Mathlib.Topology.MetricSpace.Cauchy Mathlib.Topology.MetricSpace.Closeds Mathlib.Topology.MetricSpace.Completion Mathlib.Topology.MetricSpace.Contracting Mathlib.Topology.MetricSpace.Defs Mathlib.Topology.MetricSpace.DilationEquiv Mathlib.Topology.MetricSpace.Dilation Mathlib.Topology.MetricSpace.Equicontinuity Mathlib.Topology.MetricSpace.Gluing 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.Infsep Mathlib.Topology.MetricSpace.IsometricSMul Mathlib.Topology.MetricSpace.Isometry Mathlib.Topology.MetricSpace.Kuratowski Mathlib.Topology.MetricSpace.Lipschitz Mathlib.Topology.MetricSpace.MetricSeparated Mathlib.Topology.MetricSpace.PartitionOfUnity Mathlib.Topology.MetricSpace.Perfect Mathlib.Topology.MetricSpace.PiNat Mathlib.Topology.MetricSpace.Polish Mathlib.Topology.MetricSpace.ProperSpace.Lemmas Mathlib.Topology.MetricSpace.ProperSpace Mathlib.Topology.MetricSpace.Pseudo.Basic Mathlib.Topology.MetricSpace.Pseudo.Constructions Mathlib.Topology.MetricSpace.Pseudo.Defs Mathlib.Topology.MetricSpace.Pseudo.Lemmas Mathlib.Topology.MetricSpace.Pseudo.Pi Mathlib.Topology.MetricSpace.Pseudo.Real Mathlib.Topology.MetricSpace.Sequences Mathlib.Topology.MetricSpace.ShrinkingLemma Mathlib.Topology.MetricSpace.ThickenedIndicator Mathlib.Topology.MetricSpace.Thickening Mathlib.Topology.MetricSpace.Ultra.Basic Mathlib.Topology.MetricSpace.Ultra.ContinuousMaps Mathlib.Topology.MetricSpace.Ultra.TotallySeparated Mathlib.Topology.Metrizable.Basic Mathlib.Topology.Metrizable.ContinuousMap Mathlib.Topology.Metrizable.Uniformity Mathlib.Topology.Metrizable.Urysohn Mathlib.Topology.Order.Bounded 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.UniformSpace.CompareReals Mathlib.Topology.UniformSpace.Dini Mathlib.Topology.UniformSpace.Matrix Mathlib.Topology.UnitInterval Mathlib.Topology.UrysohnsBounded Mathlib.Topology.UrysohnsLemma Mathlib.Topology.VectorBundle.Basic Mathlib.Topology.VectorBundle.Constructions Mathlib.Topology.VectorBundle.Hom	1
Mathlib.Algebra.Order.Round (new file)	615

---

Declarations diff

No declarations were harmed in the making of this PR! 🐙

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.

---

Decrease in tech debt: (relative, absolute) = (1.00, 0.02)

Current number	Change	Type
58	-1	large files

Current commit f660f31865
Reference commit e6c7f46380

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 the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

[b-mehta]

Nice!

bors merge

[mathlib-bors]

Canceled.