In Jain Nyāy (logic), hetu means reason or cause used in inference (anumān). Both “gyapak hetu” and “kāraṇ hetu” are types of such causes, but they are different:

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1. Kāraṇ Hetu (कारण हेतु)

• Meaning: A cause that actually produces or brings about the result.
• It is the real, effective cause.
• Example in simple language:

- Fire is the kāraṇ (cause) of smoke. - So when we say: “There is smoke because there is fire”, fire is kāraṇ hetu.

• In Jain karma theory also, our passions (kaṣāya) like anger, pride, deceit, greed are kāraṇ-hetu for bondage of karma – they really cause the bondage.

So, kāraṇ hetu = productive / real cause.

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2. Gyapak Hetu (व्यापक / व्यापक हेतु)

Most likely here “gyapak” means vyāpak (व्यापक) – the pervading or all-covering reason.

• Meaning: A cause whose presence always pervades (is found in) all cases where the result is found.
• It is co-extensive with the sādhya (the thing to be proved).
• Example:

- Wherever there is smoke, there is fire. - Here fire is vyāpak with smoke – fire pervades all cases of smoke. - So if we use “fire” as a hetu for showing smoke, that hetu is vyāpak-hetu.

So, gyapak (vyāpak) hetu = a reason that is present in all instances where the result is present (pervading cause).

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Main Difference in Simple Words

• Kāraṇ Hetu – looks at real causation:

“This happens because this causes it.”

• Gyapak (Vyāpak) Hetu – looks at logical pervasion / universal connection:

“Wherever this is present, that is also present.”

Both are “hetu”, but:

• One is ontological/real cause (kāraṇ).
• One is logical/pervading reason (gyapak/vyāpak).

If your use of “gyapak hetu” is from a specific Jain text or context (like karmavāda, nayavāda, or nyāya), the basic difference will still follow this line: kāraṇ = producing cause, gyapak = pervading/logical cause.