Math Easy Solutions, yes: the cathode is connected to the battery’s negative terminal, so it receives electrons, while the anode is connected to the positive terminal and pulls electrons away from water during oxidation per LibreTexts and Chemistry Learner. Here’s the clean version: | Electrode | Battery side | What happens | Half-reaction | | Anode | + | water loses electrons (oxidation) | 2H2O → O2 + 4H+ + 4e- | | Cathode | - | H+ gains electrons (reduction) | 4H+ + 4e- → 2H2 |. “Water is oxidized” means the oxygen atoms in H2O go from oxidation state -2 to 0, so the water molecule is being forced by the battery to break apart and release electrons; those 4 electrons don’t come from nowhere, they come from the water molecules themselves as bonds rearrange into O2 and H2. Your own electrolysis Q/A thread is basically asking the right thing: the battery does the forcing, the anode steals electrons, and the cathode dumps them back into hydrogen ions.