Final answer:
In Shakespeare's play, Lysander and Demetrius intend to prove their love for Helena by engaging in a duel, a situation arising from the effects of a love potion.
Step-by-step explanation:
The characters Lysander and Demetrius prove their love for Helena in William Shakespeare's play A Midsummer Night's Dream by engaging in a duel. Both men, under the spell of a love potion, vehemently declare their love for Helena and are willing to fight each other to win her affection. This act of proving love through a duel is a common motif in literature, showcasing the extremes characters are willing to go to for what they believe is love, even though in this case, it is artificially induced by magic. Shakespeare often explores the complexities and irrationality of love in his works, and this scenario is an example of how love can lead to foolish and dangerous behavior. This duel represents a culmination of mistaken identities and enchanted attractions that lead to a comedic, if not perilous, confrontation.