{-# OPTIONS --warning=error --safe --without-K #-} -- This file contains everything that can be compiled in --safe mode. open import Numbers.Naturals.Naturals open import Numbers.BinaryNaturals.Definition open import Numbers.BinaryNaturals.Multiplication open import Numbers.BinaryNaturals.Order open import Numbers.BinaryNaturals.Subtraction open import Numbers.Primes.PrimeNumbers open import Numbers.Primes.IntegerFactorisation open import Numbers.Rationals.Lemmas open import Numbers.Modulo.Group open import Numbers.Integers.Integers open import Numbers.Integers.RingStructure.EuclideanDomain open import Numbers.Integers.RingStructure.Archimedean open import Numbers.ClassicalReals.Examples open import Numbers.ClassicalReals.RealField.Lemmas open import Lists.Lists open import Lists.Filter.AllTrue open import Groups.Groups open import Groups.Abelian.Lemmas open import Groups.DirectSum.Definition open import Groups.QuotientGroup.Definition open import Groups.QuotientGroup.Lemmas open import Groups.FiniteGroups.Definition open import Groups.Homomorphisms.Lemmas open import Groups.Homomorphisms.Lemmas2 open import Groups.Homomorphisms.Examples open import Groups.Isomorphisms.Lemmas open import Groups.FinitePermutations open import Groups.Lemmas open import Groups.FirstIsomorphismTheorem open import Groups.SymmetricGroups.Definition open import Groups.Actions.Stabiliser open import Groups.Actions.Orbit open import Groups.SymmetricGroups.Lemmas open import Groups.ActionIsSymmetry open import Groups.Cyclic.Definition open import Groups.Cyclic.DefinitionLemmas open import Groups.Polynomials.Examples open import Groups.Cosets open import Groups.Subgroups.Normal.Examples open import Groups.Examples.ExampleSheet1 open import Groups.LectureNotes.Lecture1 open import Fields.Fields open import Fields.Orders.Partial.Definition open import Fields.Orders.Total.Definition open import Fields.Orders.Partial.Archimedean open import Fields.Orders.LeastUpperBounds.Examples open import Fields.Orders.Lemmas open import Fields.FieldOfFractions.Field open import Fields.FieldOfFractions.Lemmas open import Fields.FieldOfFractions.Order --open import Fields.FieldOfFractions.Archimedean open import Rings.Definition open import Rings.Lemmas open import Rings.Orders.Partial.Definition open import Rings.Orders.Total.Lemmas open import Rings.Orders.Partial.Lemmas open import Rings.IntegralDomains.Definition open import Rings.DirectSum open import Rings.Polynomial.Ring open import Rings.Polynomial.Evaluation open import Rings.Ideals.Definition open import Rings.Isomorphisms.Definition open import Rings.Quotients.Definition open import Rings.Cosets open import Rings.EuclideanDomains.Definition open import Rings.EuclideanDomains.Examples open import Rings.Homomorphisms.Image open import Rings.Homomorphisms.Kernel open import Rings.Ideals.FirstIsomorphismTheorem open import Rings.Ideals.Lemmas open import Rings.Ideals.Prime.Definition open import Rings.Ideals.Prime.Lemmas open import Rings.Ideals.Principal.Definition open import Rings.IntegralDomains.Examples open import Rings.PrincipalIdealDomains.Lemmas open import Rings.Subrings.Definition open import Rings.Ideals.Maximal.Lemmas open import Rings.Primes.Lemmas open import Rings.Irreducibles.Definition open import Rings.Divisible.Lemmas open import Rings.Associates.Lemmas open import Rings.InitialRing open import Rings.Homomorphisms.Lemmas open import Rings.UniqueFactorisationDomains.Definition open import Rings.Examples.Examples open import Setoids.Setoids open import Setoids.DirectSum open import Setoids.Lists open import Setoids.Orders.Total.Lemmas open import Setoids.Functions.Definition open import Setoids.Functions.Extension open import Setoids.Algebra.Lemmas open import Setoids.Intersection.Lemmas open import Setoids.Union.Lemmas open import Setoids.Cardinality.Infinite.Lemmas open import Setoids.Cardinality.Finite.Definition open import Sets.Cardinality.Infinite.Lemmas open import Sets.Cardinality.Countable.Lemmas open import Sets.Cardinality.Finite.Lemmas open import Sets.Cardinality open import Sets.FinSet.Lemmas open import Decidable.Sets open import Decidable.Reduction open import Decidable.Relations open import Vectors open import Vectors.VectorSpace open import KeyValue.KeyValue open import KeyValue.LinearStore.Definition open import Maybe open import Orders.Total.Lemmas open import Orders.WellFounded.Induction open import ClassicalLogic.ClassicalFive open import Monoids.Definition open import Semirings.Definition open import Semirings.Solver open import Categories.Definition open import Categories.Functor.Definition open import Categories.Functor.Lemmas open import Categories.Dual.Definition open import Graphs.PathGraph open import Graphs.CycleGraph open import Graphs.UnionGraph open import Graphs.CompleteGraph open import Graphs.Colouring open import Graphs.Bipartite open import Graphs.Complement open import Graphs.InducedSubgraph open import LectureNotes.MetAndTop.Chapter1 open import LectureNotes.NumbersAndSets.Lecture1 open import LectureNotes.Groups.Lecture1 open import Modules.Examples open import Modules.PolynomialModule open import Modules.Lemmas open import Modules.DirectSum open import ProjectEuler.Problem1 module Everything.Safe where