إثبات Englisch:

In the 1950s, two scientists tried to prove the theory mathematically.

Mathematicians are poets, except that they have to prove what their fantasy creates.

They knew that he did it but they couldn't prove it.

it has proved difficult to confirm the effectiveness of this method

proved, proven

With pure logic you can prove the biggest nonsense.

A car is convenient, to be sure, but, after all, it will prove expensive.

Now, we show how this lemma can be used to prove our main theorem.

Solar storms next year could prove disastrous for the electrical grid.

I don't quite follow, but it looks like it will prove tricky. Ergh.

All lost umbrellas turn into paper clips, as anyone can prove when finding these.

If they are proved guilty we won't trade with them.

Come prove various parts of your story...

They couldn’t prove that she was guilty. to prove sb right/wrong. to prove to be useful/easy. to prove yourself

The word prove means to demonstrate the truth or existence of (something) by evidence or argument.

To be successful, you have to establish a good plan / I am going to establish a new world record for swimming / Disneyland was established in 1955

My friend plans to establish a company.

In order to establish an appropriate cost-benefit balance, costs must be reduced.