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He can break the "dimension barrier" with his speed

Superman punched back Orion and fought on par with him on another occasion, who tanked a weapon capable of annihilating the universe.

Can harm Superman

who has a bucket load of Universal feats. (Superman battled Golden Age Superman who stalemated Silver Age Superman, So any Pre-Crisis universal feats do count for Post-crisis Superman)

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Superman has fought Brainiac 13 on three different occasions, who can ravage timelines and rewrite the universe. Silver Age Superman caused a universe to be created following the death of Maaldor, tanked the Big Bang, shattered the barriers of space and time casually while flying, and fought against Blackstarr, a woman capable of destroying the universe and attacking him with the gravitational force of the whole universe. Post-Crisis Superman fought 30th century Mordru who had all of the magical power of a universe. Superman fought the Time Trapper, who is a sentient timeline capable of shattering timelines. The Doctor who can create a universe, and yet is weaker than Superman. Superman tanked a punch from Icon, who killed Starbreaker, who killed someone who was holding the universe together. Superman fights Wonder Woman on multiple occasions, who can recreate the timeline with her Lasso of Truth, can fight the Queen of Fables, who is an extra-dimensional embodiment of evil folklore, and can withstand attacks from 4-D when she's utilising four-dimensional energy. Superman fought the Red King, who can reshape the universe and destroy possibilities containing universes one by one. Superman fought and overwhelmed the Kryptonian God Cythonna, who warred for a long time against the Kryptonian God Rao, who created the universe. Superman pushed through the barriers of space and time, and then defeated the embodiment of his own Death, who caused the universe to compress on Superman, only for him to overcome it. Superman tanked Aztek's self-destruction of four-dimensional energy. Superman can withstand attacks from and damage the Lord of Time, who is four-dimensional. Superman has battled Kyle Rayner (Who Hal should scale to) on multiple occasions, who defeated an aberration that was breaking down the laws of space and time and the universe, remaking it into a world devoid of cause and effect and reason, and these changes were reverted by Kyle Rayner. Superman fights Blackstar, who wields the the energies of the cosmos. Superman overwhelmed Starman, who can defeat Darklord Maaldor, who can become a universe. Hal has also battled Lobo who rocked the cosmos in his fight with Shazam and survived quantum lightning breaking space-time

Green Lantern and Guy Gardner cross the DC UniverseImgur

So Hal should easily scale to Universal. The DC Universe has been stated to be infinite in size

Durability: Comparable to his Durability

Speed: Many of DC's best speed feats revolve around crossing the Universes

Hal and Guy Gardener cross the DC Universe in 10 hours while there Rings are in hibernation mode

Wally West Ran along with the Big Bang

static.wikia.nocookie.net

Wonder Woman was able to react to shards that were crossing the universe

Wonder Woman Shattered God featsImgur

Using 4 probes, Hal searches the universe in a heartbeat.

Superman Stopped Mandrakk's reality blitzing missiles which we're going to neutralize the universe from every corner before Lois's heart and beat once.

I've already mentioned how the DC universe is infinite in size, So we already have showings of DC characters breaking the Distance part of the equation (Infinite speed). Here are some speed feats that Hal should scale to

Superman vibrates through to timestream to fly a man back in time (Breaking both the distance and time part of the speed equation giving him Irrelevant speed)

Hal can travel a timeless distanceless barrier in an instant (Giving him Irrelevant speed)

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Could move in the anti-matter universe which is beyond space and time

Superman Flew out of and broke the Source after Highfather said that distance has no meaning in the source (Breaking the distance part of the speed equation)

GL Metal ManipulationImgur

Hal's speed should also scale above space and time considering these feats alongside his universal ones.

Powers and Abilities: One of his most famous abilities is construct creation. Green Lantern has much more abilities than that. He can create steel pellets, create and manipulate iron,

can teleport himself and other people

Teleports himself and Arisia out of a police stationImgur

Teleports Barry from his office to the airportImgur

Absorbed electro-magnetic convection currents and absorbed Alan Scott’s mind

GL AbsorptionImgur

Capable of absorbing life force

GL Life Force AbsorptionImgur

Can use his Power Ring to probe the minds of others

GL doesn’t have regards for your privacyImgur

Can communicate with other Green Lanterns

Communicates with JoImgur

High-speed mind transmissionsImgur

Healed a small wound on his leg

Can dilate time to choose a successor in the event of his death

Dilates time so Hal can choose a successor in the time of death, but he wills himself to live on anywaysImgur

Flew through someone’s hand with his intangibility

He made a construct allowing Barry Allen to see on the molecular level, scanned someone’s vitals, scanned an alien plant for toxins, determined a robot’s weakness, Can scan through walls, DNA, and down to the level of neurons

Medic campImgur

DNA Scans an alien beingImgur

Can create portals through space and time

Green Lantern Portal CreationImgur

created a portal for the antimatter universe

Rendered himself and Black Canary invisible

Created a ghost image of himself

can make clones

Can generate searing flames

Green Lantern PyrokinesisImgur

Can generate tornadoes and gusts of wind

Green Lantern AerokinesisImgur

Turned off Arisia’s voice

Sealed his and Barry Allen’s metabolisms

Seals the metabolisms of himself and Barry and scans for life-formsImgur

Sealed Doctor Light in the Central Power Battery

Traps Dr. Light in the Central Power BatteryImgur

Created wooden bugs

Creates wooden bugs to mess with Alan ScottImgur

Generates a tidal wave, Creates a fire hose, Creates a waterspout, and Forms a hand of water.

Green Lantern HydrokinesisImgur

Plants suggestions in some warriors’s minds to make them miss

Projected a message through televisions in Coast City

His Power Ring can evolve opponents backward, Enlarged the Flash’s upper body, Swapped brains with an opponent to steal their body, and Cleansed himself of a disease.

Green Lantern Biological ManipulationImgur

Reactivated a part of Hector Hammond’s mind so he could feel pain

Pushes Hector Hammond out of his mindImgur

Fired a burst of light from his ring

Puts a crowd of people to sleep

SleepImgur

Attacks Superman with his fears (This is impressive as Superman has resisted stuff similar to this as shown here and the time were he resisted a crystal that brings out the primal fear within someone

Album — Postimagespostimg.cc

Froze water vapor into ice

Turned the Flash into protons (This is impressive sense Flash has returned after being turned into water vapor alongside having restored himself after being turned into glass)

Reforms after being turned into water vaporImgur

Green Lantern TransfigurationImgur

Takes control of the world's population

Can shrink himself to subatomic size, Shrink Sinestro, and enlargeshimself to be 300 feet tall

Made a chemical lab to create acid

Turned himself into a robot

Can erase memories

Can nullify and remove the powers of others

A villain with a replica of his Ring aged a tree to a rotting stump

GL Age ManipulationImgur

Alters Batman's atoms

Creates giant tuning forks

His Ring can translate alien languages

GL Automatic TranslationImgur

Can fan out radar waves to scan the surrounding area and search/scour the space-time matrices

GL ClairvoyanceImgur

Created mental barriers that can defend against Martian Manhunter

Forced Jericho out of his body

Forces Jericho to relinquish control of his bodyImgur

Fights against nanomachines trying to reprogram his brain before destroying them

Resists nanomachines trying to reprogram his brain and burns them awayImgur

Can replicate the heat of the sun

Can reach into the future to attack others

His ring will also automatically make a force field that will put him back together if he´s destroyed

Forced an object to become non-existent