This is a nuclear proof facility.

This window is bulletproof.

It's called the Gaokao, and 80 million high school Chinese students have already taken this grueling test.

This proof was published by Imre Leader and Béla Bollobás in 2006.

This part's not going to be on the test.

The gold medal position for this event is now vacant.

The proof is trivial.

The proof is irrefutable.

When is the test?

T proves 1. that is, T proves that if T proves P , then T proves ProvA( ( P )).

Obstacle Run The length of the course is 500 meters and consists of 20 standardised obstacles.

It's waterproof.

The test is at 4 p.m.

That Offa could summon the resources to build Offa's Dyke is testament to his power.

What is soft proofing?

The difference is that instead of constructing a new proof, the proof verifier simply checks that a provided formal proof (or, in instructions that can be followed to create a formal proof) is correct.

Equestrian is the only mixed gender Olympic event.

This is a test.

Considering the FAO s conservative definition of chronic severe hunger, this is a serious indictment of global poverty reduction efforts.

Therefore, a proof that formula_13 also proves that formula_4 is true.

In other words, T proves that ProvA( ( P )) implies ProvA( (ProvA( (P)))).

You can open it up completely. It's waterproof.

Sato returned to the seat for the next race.

In other words, T proves that ProvA( ( P Q )) and ProvA( ( P )) imply ProvA( ( Q )).

This watch is waterproof.

My camera is waterproof.

T proves that if T proves that ( P Q ) and T proves P then T proves Q .

A formal proof is a complete rendition of a mathematical proof within a formal system.

The proof of the second incompleteness theorem is obtained by formalizing the proof of the first incompleteness theorem within the theory itself.

And I thought, in two days' time, I was going to do this swim across the North Pole.

This consistency proof should preferably use only finitistic reasoning about finite mathematical objects.

How did the exam go?

The tryouts appeared easy.

The exam was easy.

This concludes the proof.

Typically, the computer can recognize the axioms and logical rules for deriving theorems, and the computer can recognize whether a proof is valid, but to determine whether a proof exists for a statement is only soluble by waiting for the proof or disproof to be generated.

And this is climate proof.

My watch is waterproof.

This is a waterproof clock.

You prove one, you prove the other.

Twenty one years after Amoco Cadiz, this umpteenth oil slick, the seventh since 1967, shows the irresponsibility of our successive rulers.

It's horrible. It's a proof of our failing to save them in the wild.

The trilateral agreement is just one indicator of the strength of what Brazilian commentators have called President Lula's ethanol diplomacy .

This was based on a nearly identical statement by fellow founder of the Committee for the Scientific Investigation of Claims of the Paranormal, Marcello Truzzi, An extraordinary claim requires extraordinary proof.

And I'm living proof.