Advocates appeared:
For the Petitioner(s): Mr. Mukul Rohatgi, Sr. Adv. Mr. Sidharth Luthra, Sr. Adv. Mr. Jayant Mehta, Sr. Adv. Mr. Siddharth Aggarwal, Sr. Adv. Ms. Stuti Gujraj, Adv. Mr. Vaibhav Niti, AOR Ms. Devanshi Singh, Adv. Mr. Keshav Sehgal, Adv. Ms. Sowjhanya Shankaran, Adv. Mr. Vishwajeet Singh, Adv. Mr. Abhinav Sekhri, Adv. Mr. Kartikeye Dang, Adv. Mr. Adarsh Joshi, Adv.
For the Respondent(s): Mr. Tushar Mehta, Solicitor General Mr. Aman Mehta, Adv. Ms. Astha Singh, AOR

Certainly. Based on the provided legal document, here are the key points:

1. The interpretation of Section 3 of the Judges (Inquiry) Act, 1968, is central to the proceedings, particularly concerning the procedure for initiating and conducting inquiries into allegations against judges (!) (!) .

2. The process for the removal of a judge involves multiple stages, including the presentation of a motion, scrutiny and admission by the presiding officer, constitution of a committee for inquiry, investigation, and eventual consideration by Parliament for removal (!) (!) .

3. The first proviso to Section 3(2) addresses the specific scenario where notices of motion are given in both Houses on the same day. It mandates that a joint committee be constituted only if both Houses admit the motions. Rejection or non-admission by one House does not automatically invalidate proceedings initiated by the other House (!) (!) .

4. The authority to admit or reject a motion lies with the presiding officers of each House, namely the Speaker of the Lok Sabha and the Chairman of the Rajya Sabha. Their decisions are independent, and rejection in one House does not impede the proceedings in the other unless explicitly mandated by law (!) (!) .

5. In circumstances where the office of the Chairman of the Rajya Sabha is vacant, the Deputy Chairman is authorized to perform the duties of the Chairman, including considering motions and exercising powers under the relevant statutes, based on constitutional provisions (!) (!) .

6. The competence of the Deputy Chairman to refuse admission of a motion is supported by constitutional and statutory provisions, especially when the office of the Chairman is vacant. The Deputy Chairman's actions in this context are within his constitutional mandate (!) (!) .

7. The impact of the Deputy Chairman’s refusal to admit a motion on the validity of subsequent actions by the Speaker or the constitution of the Committee is limited. Even if the refusal is deemed illegal, it does not retroactively invalidate the proceedings initiated by the admitted motion in the other House (!) (!) .

8. The draft decision prepared by the Secretary-General of the Rajya Sabha, which records that the motion was not "in order," is not legally justified. Such procedural assessments are beyond the scope of the Secretary-General’s authority, which is confined to administrative verification rather than substantive adjudication of the motion's merits (!) (!) .

9. The exercise of the writ jurisdiction under Article 32 of the Constitution is limited to fundamental rights violations or gross injustice. Procedural irregularities, without demonstrable prejudice, do not warrant interference through writ petitions (!) (!) .

10. The constitution of the Inquiry Committee by the Speaker, based on an admitted motion from the Lok Sabha, is valid even if the motion from the Rajya Sabha was not admitted. The law permits the Speaker to proceed with the inquiry on the admitted motion, regardless of the non-admission or rejection of the other motion (!) (!) .

11. The procedural safeguards and statutory requirements are designed to ensure fairness, independence, and adherence to constitutional principles. The process involves multiple stages, including scrutiny, investigation, and parliamentary approval, which collectively protect the rights of the judge and uphold constitutional mandates (!) (!) .

12. The role of the Deputy Chairman, when acting in the absence of the Chairman due to vacancy, is supported by constitutional provisions and rules, and he is empowered to perform the duties, including considering motions for removal (!) (!) .

13. Any procedural deficiencies or irregularities in the process, such as the rejection of motions or procedural decisions at the Secretariat level, do not automatically invalidate the proceedings unless they cause demonstrable prejudice (!) (!) .

14. The legislature’s intent, constitutional provisions, and procedural rules collectively emphasize the importance of independence, procedural fairness, and the separation of powers in the process of judges’ removal (!) (!) .

15. The ultimate safeguard remains the parliamentary process, which requires a majority or a special majority for removal, and the process is not rendered invalid solely due to procedural lapses unless such lapses cause prejudice or violate constitutional or statutory mandates (!) (!) .

These points encapsulate the core legal principles, procedural interpretations, and constitutional considerations articulated in the document, without referencing specific case law or external sources.