Question: The Nemean games honored what mythology concerning, Pronax?

Context paragraphs:
Promachus of Pellene: Promachus (Greek: Πρόμαχος - "Promachos") was a pankration athlete of the Ancient Olympic Games in Olympia, Greece.  Son of Dryon, he was from Pellene in Achaea.  He was a winner of the 94th Olympiad in 404 BC.  He also won three times at the Isthmian and the Nemean Games.  There was also a statue of him in ancient Olympia.

Sostratus of Sicyon: Sostratus of Sicyon (Greek: Σώστρατος , "Sostratos") was an Olympic athlete and pankratiast from Sicyon in Ancient Greece, known for his style of fighting, bending or breaking his opponents fingers.  He won the pankration crown at three successive Olympiads in 364, 360 and 356 BC.  Further, he won 12 such victories at the Isthmian and Nemean Games combined, and two more at the Pythian Games in Delphi.  According to the extant records, his feat of three Olympic victories in the pankration was equaled by only three others and surpassed by no-one in the over 1000-year history of the ancient Olympic Games.

Carya (daughter of Dion): In Greek mythology, Carya was a daughter of the Laconian king Dion and Amphithea, daughter of Pronax.  Her sisters were Lyco and Orphe.  Apollo, in reward for Dion and Amphithea receiving him with great reverence and hospitality, bestowed a gift of prophecy upon their daughters, but imposed a restriction that they should not betray gods nor search after forbidden lore.

The Pig Who Saved the World: The Pig Who Saved the World is the sequel to "The Pig Scrolls", both of which have been written by Paul Shipton.  It is set in Ancient Greece and makes references to Greek mythology concerning their gods and heroes.  It was first published in 2006.

Chrysippus (mythology): In Greek mythology, Chrysippus ( ; Greek: Χρύσιππος ) was a divine hero of Elis in the Peloponnesus, the bastard son of Pelops king of Pisa in the Peloponnesus and the nymph Axioche or Danais.  He was kidnapped by the Theban Laius, his tutor, who was escorting him to the Nemean Games, where the boy planned to compete.  Instead, Laius ran away with him to Thebes and raped him, a crime for which he, his city, and his family were later punished by the gods.

Nemean Games: The Nemean Games (Greek: Νέμεα or Νέμεια) were one of the four Panhellenic Games of Ancient Greece, and were held at Nemea every two years (or every third).

Olympic winners of the Archaic period: Just how far back in history organized athletic contests were held remains a matter of debate, but it is reasonably certain that they occurred in Greece almost 3,000 years ago.  However ancient in origin, by the end of the 6th century BC at least four Greek sporting festivals, sometimes called "classical games," had achieved major importance: the Olympic Games, held at Olympia; the Pythian Games at Delphi; the Nemean Games at Nemea; and the Isthmian Games, held near Corinth.  The Olympic Games was perhaps the greatest of all sporting event held every four years and all Olympian winners, were highly appreciated among the Greeks.

Dandes of Argos: Dandes of Argos (Ancient Greek: Δάνδης Ἀργεῖος , transcr.  "Dandḗs Argeíos", "Dandes [the] Argive") was an ancient Greek athlete listed by Eusebius of Caesarea as a victor in the stadion race of the 77th Olympiad (472 BC).  He won two races, but the first was probably in the boys' category, maybe in the 75th Olympiad eight years earlier.  He also won once at the Pythian Games and three times at the Nemean Games, according to some sources.; elsewhere, his victories were celebrated by Simonides of Ceos in a poem, which claims that he won fifteen times at Nemea – the discrepancy could again be due to victories in boys' races not recorded elsewhere.

Pronax: In Greek mythology, Pronax (Ancient Greek: Πρώναξ ) is the son of Talaus and Lysimache, and brother of Adrastus.  The Nemean Games are supposed to have been instituted in his honour.

Isthmian Games: Isthmian Games or Isthmia (Ancient Greek: Ἴσθμια) were one of the Panhellenic Games of Ancient Greece, and were named after the Isthmus of Corinth, where they were held.  As with the Nemean Games, the Isthmian Games were held both the year before and the year after the Olympic Games (the second and fourth years of an Olympiad), while the Pythian Games were held in the third year of the Olympiad cycle.

Supporting paragraphs: Pronax Nemean Games
Answer: Greek