Erdős problems and equational laws

Placeholder. This problem is here so the problem panel can be tried out. Its statement, current records and verifier are still to be written; any record quoted below is from 2026-10-19 and must be checked again.

Problem

Long-tail open problems from erdosproblems.com and open implications between equational laws, worked on together with teorth/erdosproblems and teorth/equational_theories. A counterexample is a finite structure checked exactly; a proof is a Lean 4 file that compiles without sorry or new axioms. Each open statement is a sub-issue; the list is still to be chosen with those projects.