Math Easy Solutions, no — the battery’s electrons go to the cathode, not the anode. The battery does two jobs at once: it pushes electrons into the cathode so hydrogen can be reduced to H₂, and it pulls electrons out of water at the anode so water is oxidized to O₂; it’s the voltage difference, not just “extra electrons sitting there,” that forces the split in a non-spontaneous reaction per LibreTexts and Chemistry Learner. Clean version: anode (+) = water loses electrons and makes oxygen; cathode (−) = hydrogen ions/water gain electrons and make hydrogen. Your MES Math Q/A 62 thread is aimed at exactly that distinction, and the annoying part is the naming: anode is where oxidation happens even though the battery is sucking electrons away there.
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