Here is the purely scriptural Jain format of the topic:

Samyaktva and Mithyātva

1) Samyaktva

Samyaktva means right faith, right belief, or right conviction. It is the state in which the jīva accepts the true nature of the Jīva, Ajīva, Āsrava, Bandha, Saṃvara, Nirjarā, and Mokṣa.

In simple words, samyaktva is:

• faith in the true path,
• clarity about reality,
• absence of deluded wrong belief.

2) Mithyātva

Mithyātva means wrong faith, false conviction, or deluded belief. It is the opposite state, where the soul does not accept reality as it is.

In simple words, mithyātva is:

• false understanding,
• wrong belief,
• spiritual delusion.

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Types of Samyaktva

Jain tradition describes three principal forms:

A) Aupaśamika Samyaktva

• Right faith arising due to subsidence of deluding karma.
• It is temporary.
• If the karma rises again, right faith may become covered.

B) Kṣāyopaśamika Samyaktva

• Right faith arising from partial destruction-cum-subsidence of karma.
• It is stronger than aupaśamika, but still not absolutely irreversible.

C) Kṣāyika Samyaktva

• Right faith arising from complete destruction of the relevant deluding karma.
• This is irreversible.
• It does not fall back into mithyātva.

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How a Samyaktvī Can Fall into Mithyātva

A jīva with samyaktva may fall due to the rise of darśana-mohanīya karma and the influence of passions such as:

• anger,
• pride,
• deceit,
• greed,
• attachment,
• carelessness.

The inner process is generally:

1. vigilance weakens,
2. passions become stronger,
3. discernment becomes clouded,
4. wrong views begin to appear attractive,
5. deluding karma covers right faith,
6. mithyātva returns for some time.

This generally applies to aupaśamika and kṣāyopaśamika samyaktva, not to kṣāyika samyaktva.

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Important Doctrinal Point

A samyaktvī who falls does not lose all spiritual progress.

The jīva:

• has already touched truth,
• has planted the seed of right faith,
• and can reattain samyaktva more easily than before.

So the fall is a covering of right faith, not destruction of the soul’s capacity for liberation.

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Spiritual Meaning

Even if right faith becomes obscured:

• the soul remains pure in nature,
• the possibility of liberation remains,
• and the path can be regained through right effort.

In Jain Dharma, this is why right faith is considered the foundation of the path.

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How to Protect Samyaktva

A samyaktvī should carefully maintain:

• Svādhyāya — study of the scriptures
• Satsaṅga — association with the wise
• Samyama — self-restraint
• Pratikramaṇa — repentance and purification
• Aparigraha — non-attachment
• Vigilance over kaṣāyas — anger, pride, deceit, greed

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Short Scriptural Style Summary

• Samyaktva = right faith
• Mithyātva = wrong faith
• Aupaśamika samyaktva = temporary, can be covered again
• Kṣāyopaśamika samyaktva = partial, can also become obscured
• Kṣāyika samyaktva = complete and irreversible

Thus, when a samyaktvī falls, it is due to the rise of deluding karma, but the spiritual seed of truth remains.

If you want, I can also present this in very short sutra-style bullet points or in Gujarati/Hindi Jain style.