Not a proof:
Gur boivbhf ohg oehgr sbepr jnl gb qb guvf jbhyq or svaqvat gur rdhngvba bs gur gjb yvarf sebz gur gjb evtug pbearef (obgu rnfl orpnhfr bs fvzvyne gevnatyrf naq/be xabja yratguf/pbbeqvangrf), svaq gur cbvag jurer gurl vagrefrpg, jevgr gur rdhngvba sbe gur yvar cnffvat guebhtu vg naq gur ybjre yrsg pbeare, fbyir sbe gung yvar uvggvat gur evtug yvar, gura fvzcyvsl. V unira’g qbar vg, ohg guvf fubhyq onfvpnyyl jbex qverpgyl.
Vf gurer fbzr oevyyvnag jnl bs fubjvat vg ol zrer fvzvynevgvrf? V qvqa’g frr bar vzzrqvngryl.
I’ve added a hint in the main post.
Not a proof:
Gur boivbhf ohg oehgr sbepr jnl gb qb guvf jbhyq or svaqvat gur rdhngvba bs gur gjb yvarf sebz gur gjb evtug pbearef (obgu rnfl orpnhfr bs fvzvyne gevnatyrf naq/be xabja yratguf/pbbeqvangrf), svaq gur cbvag jurer gurl vagrefrpg, jevgr gur rdhngvba sbe gur yvar cnffvat guebhtu vg naq gur ybjre yrsg pbeare, fbyir sbe gung yvar uvggvat gur evtug yvar, gura fvzcyvsl. V unira’g qbar vg, ohg guvf fubhyq onfvpnyyl jbex qverpgyl.
Vf gurer fbzr oevyyvnag jnl bs fubjvat vg ol zrer fvzvynevgvrf? V qvqa’g frr bar vzzrqvngryl.
I’ve added a hint in the main post.