Cannot resolve AutoMapper.IMapper using AutoMapper 4.2 with Autofac

Question

I tried various permutations of this, but my current configuration (as for AutoMapper) is as follows:

builder.RegisterAssemblyTypes().AssignableTo(typeof(Profile)).As<Profile>();

builder.Register(c => new MapperConfiguration(cfg =>
{
    foreach (var profile in c.Resolve<IEnumerable<Profile>>())
    {
        cfg.AddProfile(profile);
    }
})).AsSelf().SingleInstance();


builder.Register(c => c.Resolve<MapperConfiguration>().CreateMapper(c.Resolve)).As<IMapper>().InstancePerLifetimeScope();

builder.RegisterType<MappingEngine>().As<IMappingEngine>();

I have a constructor using IMapper mapper, but I keep getting YSOD:

None of the constructors found with'Autofac.Core.Activators.Reflection.DefaultConstructorFinder'
on type '' can be invoked with the available services and parameters:
 Cannot resolve parameter 'AutoMapper.IMapper mapper' of constructor 
'Void .ctor(...,...,..., AutoMapper.IMapper)'.

This class works fine without a reference to autapper, so I'm sure the problem is with my automapper configuration.

I'm not sure what I'm missing here, as I'm very new to both AutoFac and AutoMapper.

Edit:

I also tried:

builder.Register(c => new MapperConfiguration(cfg =>
{
    cfg.CreateMap<IdentityUser, AspNetUser>().ReverseMap();
})).AsSelf().SingleInstance();

builder.Register(ctx => ctx.Resolve<MapperConfiguration>().CreateMapper()).As<IMapper>();
//I've tried both of these lines separately, neither work
builder.Register(c => c.Resolve<MapperConfiguration>().CreateMapper(c.Resolve)).As<IMapper>().InstancePerLifetimeScope();

I also tried manually adding profiles to the proposal in the comments

Answer 1

, AutoFac ( ).

, - 3 ( ):

using System.Diagnostics;
using Autofac;
using AutoMapper;

namespace Sandbox
{
    public partial class App
    {
        public App()
        {
            var builder = new ContainerBuilder();
            builder.Register(
                c => new MapperConfiguration(cfg =>
                {
                    cfg.AddProfile(new TestProfile());
                }))
                .AsSelf()
                .SingleInstance();

            builder.Register(
                c => c.Resolve<MapperConfiguration>().CreateMapper(c.Resolve))
                .As<IMapper>()
                .InstancePerLifetimeScope();

            builder.RegisterType<MappingEngine>()
                .As<IMappingEngine>();

            builder.RegisterType<Test>().AsSelf();

            var container = builder.Build();
            container.Resolve<Test>();
        }
    }

    public class TestProfile : Profile
    {
        protected override void Configure()
        {
            CreateMap<Source, Destination>();
        }
    }

    public class Test
    {
        public Test(IMapper mapper)
        {
            var source = new Source { Id = 3 };
            var destination = mapper.Map<Destination>(source);
            Debug.Print(destination.Id.ToString());
        }
    }

    public class Source
    {
        public int Id { get; set; }
    }

    public class Destination
    {
        public int Id { get; set; }
    }
}

, .