How does the 7 Links to Awakening induce Breakthrough?

The Blessed Buddha once said:
And what, Bhikkhus, is the way that induces vast penetration?
It is: These 7 Links to Awakening! What seven?

1: The Awareness Link to Awakening: sati-sambojjhanga.
2: The Investigation Link to Awakening: dhammavicaya-sambojjhanga.
3: The Energy Link to Awakening: viriya-sambojjhanga.
4: The Joy Link to Awakening: pīti-sambojjhanga.
5: The Tranquillity Link to Awakening: passaddhi-sambojjhanga.
6: The Concentration Link to Awakening: samādhi-sambojjhanga.
7: The Equanimity Link to Awakening: upekkhā-sambojjhanga.

Then, the Venerable Udayi asked the Blessed Buddha: 
Venerable Sir, how are these 7 Links to Awakening developed and cultivated
so that they lead up to, and induce vast penetration?
Udayi, when a Bhikkhu develops the Seven Links to Awakening supported
by seclusion, disillusion, and ceasing,  it culminates in a mental release,
which is vast, exalted, and infinite, without any trace of ill will or opposition.
With such exalted mind matured and refined by these 7 Links to Awakening,
he penetrates, smashes and eliminates the mass of greed, that he has never
before penetrated, smashed and eliminated; he penetrates, demolishes and
eradicates the heap of hate, that he has never before penetrated, demolished
and eradicated; and he penetrates, disintegrates and disperses the accumulation
of confusion, that he has never before penetrated, disintegrated and dispersed...
It is, Udayi, when these Seven Links to Awakening are developed and cultivated
in exactly this way, that they lead to this incisive breakthrough of penetration...

On the 7 Links to Awakening (Sambojjhanga): http://What-Buddha-Said.net/drops/III/The_Sun.htmhttp://What-Buddha-Said.net/drops/III/The_Peak.htm
http://What-Buddha-Said.net/drops/III/The_Clothes.htm
http://What-Buddha-Said.net/drops/III/Rare_Emergence.htm
http://What-Buddha-Said.net/drops/III/Sequential_Seven.htm
http://What-Buddha-Said.net/drops/III/Vast_Penetration.htm
http://What-Buddha-Said.net/drops/III/The_Seven_Fruits.htm
http://What-Buddha-Said.net/drops/III/Unsurpassable_Seven.htm
http://What-Buddha-Said.net/drops/III/When_7_becomes_14.htm
http://What-Buddha-Said.net/drops/The_7_Links_to_Awakening.htm
http://What-Buddha-Said.net/drops/III/Leading_to_Enlightenment.htm
http://What-Buddha-Said.net/drops/III/The_Seven_Links_to_Awakening.htm
http://What-Buddha-Said.net/drops/III/The_Cause_of_Knowledge_and_Vision.htm
http://What-Buddha-Said.net/drops/III/The_Meaning_of_the-7_Links_to_Awakening.htm

Source (edited extract):
The Grouped Sayings of the Buddha. Samyutta Nikāya.
Book [V: 87-88] section 46: The Links.28: Leading to Penetration...

Breakthrough!

Have a nice & noble day!

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