But if it be a sin to covet honor,
I am the most offending soul alive. [Henry, in Henry V, 4.3.31-32]
Honor is of the utmost importance to King Henry V in Shakespeare's Henry V. Henry views honor as something to be won but not something to be won for himself. He believes that honor must be won on behalf of something that is larger than himself. For Henry, achieving honor is the result of achieving glory for England.
Henry learned about honor from his companion Sir John Falstaff in an earlier play, Henry IV, Part 1. Falstaff considered the pursuit of personal honor, glory, and recognition as pure vanity and ultimately worthless.
I’ll none of it. Honor is a mere scutcheon [Henry IV, Part 1, 5.1.140-141]
Falstaff believed that honor was not something a person sought, or fought, to attain but that honor was something that came to a person as a result of their unselfish heroic deeds.
FALSTAFF: I like
not such grinning honor as Sir Walter hath: give me
life: which if I can save, so; if not, honor comes
unlooked for, and there's an end. [Henry IV, Part 1, 5.3.62-65]
On the battlefield before the Battle of Agincourt, one of Henry's military leaders, Westmoreland, wishes aloud that England had more soldiers for the battle. Henry explains to him how honor is more important than victory in the battle, or ultimate victory for England.
WESTMORELAND: O, that we now had here
But one ten thousand of those men in England
That do no work today.
KING HENRY: . . . No, my fair cousin.
If we are marked to die, we are enough
To do our country loss; and if to live,
The fewer men, the greater share of honor. . . .
No, faith, my coz, wish not a man from England:
God's peace! I would not lose so great an honor
As one man more, methinks, would share from me [4.3.18-25, 33-35]
The word "hero" doesn't appears in Henry V, but heroism, like honor, is always on Henry's mind. For Henry, honor comes to a person, and glory comes to England, as a result of heroism. You can't have honor without behaving heroically.
Henry demonstrates to his army exactly what heroism is. Henry rouses his troops to bravely charge back into battle, and, despite overwhelming odds against military success, and against even emerging alive, Henry heroically charges into the battle himself.
KING HENRY: Once more unto the breach, dear friends, once
more . . .
Follow your spirit, and upon this charge
Cry “God for Harry, England, and Saint George!” [3.1.1-2, 36-37]