In Implication World Level 8, you will learn the definition of ≠ (inequality). In Lean, a ≠ b is shorthand for a = b → False. In other words, "≠" is also an implication, and the apply and exact ...

After going through Addition World, Multiplication World, and Power World, you have gained plenty of experience in proving equalities of natural numbers. It is finally time for the next stage, ...

This story also ran on States Newsroom. It can be republished for free. The Trump administration has issued final rules on how states should ensure that millions of Medicaid enrollees prove they’re ...

Gary Neville has spoken on the rule changes for the World Cup which he says will only benefit the tournament. A new set of laws will come into play during the World Cup in a host of changes that have ...

In our latest client alert, Dr Joseph Chun, Head of ESG, outlines key actions businesses should take to mitigate compliance risks and manage this transition effectively. On 28 May 2026, the National ...

Getting into the Nasdaq-100 used to be a waiting game. A big company could go public, trade for months, and still sit outside the index that funnels billions of dollars from passive funds into its ...

The International Chamber of Commerce (ICC) has recently released its updated Rules of Arbitration (ICC Rules 2026), which came into force on 1 June 2026 The new rules build upon the reforms ...

The US Senate has approved more than $70bn (£52bn) in funding for President Donald Trump's immigration agencies. The package would fund bodies including Immigration and Customs Enforcement (ICE) and ...

If you look at the history of IPOs, a clear pattern emerges. Companies like to go public in bull markets: when investors are confident, and valuations are high. As soon as there's a market downturn, ...