Introduction:
In Anton Chekhov's play "The Proposal," the theme of forgiveness and forgetting is not explicitly conveyed. The play primarily focuses on the comedic misunderstandings and miscommunications between the characters rather than promoting the idea of forgiveness and maintaining cordial relations with neighbors. However, there are certain elements in the play that can be interpreted in a way that aligns with the concept of forgiveness and forgetting.

1. The Proposal:
The play revolves around the proposal of marriage between Lomov and Natalya. Lomov, the protagonist, visits Natalya's house with the intention of proposing to her. However, their conversation quickly escalates into a heated argument over trivial matters, leading to misunderstandings and a break in their relationship.

2. Misunderstandings and Arguments:
Throughout the play, there are several instances where misunderstandings and arguments arise between the characters. Lomov and Natalya's constant bickering and disagreement over matters such as land ownership and hunting rights highlight the inability to maintain cordial relations without forgiveness and understanding.

3. Reconciliation:
Towards the end of the play, Lomov suddenly collapses due to his emotional distress, causing Natalya to panic and realize her true feelings for him. This moment of vulnerability leads to a reconciliation as Natalya begs Lomov for forgiveness, realizing that their arguments were trivial and not worth sacrificing their relationship.

4. Lessons of Forgiveness and Understanding:
While forgiveness and forgetting are not explicitly discussed or emphasized in the play, the reconciliation between Lomov and Natalya suggests the importance of these concepts in maintaining cordial relations. Their inability to let go of their petty arguments almost cost them their relationship, but the realization of their mistakes and willingness to forgive each other ultimately saves it.

Conclusion:
In conclusion, while Anton Chekhov's play "The Proposal" does not directly convey the message of forgiveness and forgetting, it does highlight the consequences of holding onto grudges and petty arguments. The reconciliation between Lomov and Natalya serves as a reminder of the importance of forgiveness and understanding in maintaining cordial relations.

I think he is not conveys this message in the play - the proposal.