Extend N=6 integer quantum obstruction to all D ≥ 3 - #1
Draft
DomTheDeveloper wants to merge 7 commits into
Draft
Conversation
This was referenced Jul 22, 2026
Closed
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
Add this suggestion to a batch that can be applied as a single commit.This suggestion is invalid because no changes were made to the code.Suggestions cannot be applied while the pull request is closed.Suggestions cannot be applied while viewing a subset of changes.Only one suggestion per line can be applied in a batch.Add this suggestion to a batch that can be applied as a single commit.Applying suggestions on deleted lines is not supported.You must change the existing code in this line in order to create a valid suggestion.Outdated suggestions cannot be applied.This suggestion has been applied or marked resolved.Suggestions cannot be applied from pending reviews.Suggestions cannot be applied on multi-line comments.Suggestions cannot be applied while the pull request is queued to merge.Suggestion cannot be applied right now. Please check back later.
Ready for incorporation into google-deepmind#4511
This stack adds the general color-restriction theorem needed to extend the
N = 6, D = 3integer obstruction to everyD ≥ 3, together with the exact four declaration updates:eqSystem6_no_solution_d5_inteqSystem6_no_solution_ge3_inteqSystem6_no_solution_d5_trinary_inteqSystem6_no_solution_ge3_trinary_intVerification
The complete proof is merged in DomTheDeveloper/formal-conjectures at commit
0245b5cadcd166252109959d9895b363a63ae1c2.Pinned-Lean verification completed successfully:
N = 6, D = 3integer obstruction compiled;sorryAx;D ≥ 3consequences compiled with nosorryAx.The structural theorem depends only on
propext,Classical.choice, andQuot.sound. The terminal computational consequences additionally use the documented reflected machineryLean.ofReduceBoolandLean.trustCompiler.A separate one-commit statement-only branch rooted at current GDM
mainis available atDomTheDeveloper:agent/quantum-n6-all-colors-gdm-final.