Lean Kernel Arena / level-imax-leq

Proof of False via incorrect universe level comparison for imax.

A correct kernel must reject leq(imax(u,v)+1, imax(u,v)), since at u=0, v=0 this becomes leq(1, 0) which is false. However, a checker that only compares the imax arguments structurally (without accounting for an accumulated successor offset) will incorrectly accept it.

This allows defining a universe-collapsing identity function down.{u,v} : Sort (succ (imax u v)) → Sort (imax u v), which is used to cast between True and False via Bool.rec at Sort (imax 0 0) = Prop.

Nanoda incorrectly accepted this proof until it was fixed.