Relationship between Volume and Open Interest numerically

My understanding the following lemmas are true

  1. Volume Traded For the Day is always greater or equal than the Open Interest changed during the day.

  2. One volume can result at a maximum of one open interest change.

If the above lemmas are true then in the picture the open interest changed during the day is much higher than the Volume traded

Can anyone explain this?

Trade Volume is expressed in number of contracts. HDFC has a lot size of 500 shares. So the traded volume is 6,306*500=31,53,000
Yes, both your lemmas are correct.

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Open Interest is quoted in number of shares

Volume is quoted in contracts which you have highlighted, so multiply that by 500

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